How did you get the (2n+1)(2n-1)? I just don't know where the (2n+1) came from.thanks in advance! неUn=lim untina=1.3.5lim844(5")n!lim5 no} += lim (2n+1)n=∞-(2n-1)1.3.5-- (2n-1) (2n+1)(5+1)(n+1)!(5)(n+1)(1 + A₂)1 + 1 > 1limn+∞ 1+1/nIt sh·x (5^) n!1.3-5--- - (2n-1)Hence the series is[divergen+]

use the general principle of mathematical induction.

Answered: How did you get the (2n+1)(2n-1)? I…

Math

Calculus

How did you get the (2n+1)(2n-1)? I just don't know where the (2n+1) came from. thanks in advance

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Related questions

Q: What is the second derivative of f(x)=sin(10 x)+3 x+7 1. Cos(10x)*10 2. -100 *sin(10 x) 3. (10)…

A: To find the double derivative of given function

Q: Find an equation for the tangent line to the graph of y=(x3 −9x)12 at the point (−3,0).

A: Given query is to find the equation of the tangent.

Q: Find the radius of convergence and interval of convergence of the series. (-8)" x √n R = 8 I = Σ n=1…

Q: b) following function is defined Determine the point(s) where the g(x, y) = -(x-3)…

A: Given: To determine: The point(s) where the function g(x,y) is defined.

Q: Use finite approximations to estimate the area under the graph of the function f(x) = 8 - x² - 2x…

Q: At 9:00 AM the thermometer reading -10°C is brought into a room where the temperature is 45°C. At…

Q: t²y' + 2ty - y³ = 0

A: To solve the following differential equation.t2y'+2ty-y3=0

Q: Use the guidelines of curve sketching to draw the graph of x² x² + 3 = Y

Q: Question Differentiate the series represented by the function f below term- by-term to find the…

Q: XI -41 (i) Identify the critical numbers of f. (Enter your answers as a comma-separated list.) 3…

A: Given query is to find the point of relatives maximum.

Q: Given z = x³ + xy¹, x = uv³ +w², y=u+vew дz dw then find: when u = 2, v = 3, w = 0

Q: Evaluate dz using the given information. z = 5x² + 3xy + 4y²; x = 5, y = -1, dx = 0.03, dy = -0.06…

Q: Using the substitutionsz=sin y and dz=cos y dy, the differential equation (3sin y - 5x) dx + 2x² cot…

A: Here is the solution:

Q: y=3x² - 2 -2

A: We have to find out

Q: x² + y² lim (x,y) →(0,0) x² - y² Ignore "Give your reasons" below. There is no need to give a…

A: To find whether the limit exists or not

Q: By Newton – Raphson the solution of equation _3x²-x=0 . where x = 3 is 1 0.3333 оо -0.3333

A: Given, 3x2-x=0

Q: I. Find the intercepts, the critical points and point of inflection for each of the following…

Q: Evaluate the improper integral or state that it diverges. -2 88 9dx 2 Select the correct choice…

A: Solution : Given improper integral is

Q: A function for which the derivative is ft)-at is F)=2. That is, 21 is an antiderivative of st.…

A: We have to find out solution

Q: If f(x) = 8 sin ¹(2³), then f'(x) = Question Help: Video Message instructor

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: The concentration C of a chemical in the bloodstream t hours after injection into muscle tissues is…

Q: Give the interval(s) on which the function is continuous. h(k)= NOTE: When using interval notation…

A: NOTE: Refresh your page if you can't see any equations. . the given function is as we know, the…

Q: Evaluate the following limit. Enter the exact answer in fraction form, if necessary. To enter ∞o in…

A: We have to find out

Q: 3. Mang Gustin observed that when he uses x units of fertilizer, he is able to yield 1 m(x) = − −x¹…

A: To find the maximum yield we need to use the concept of maxima and minima. First we need to find the…

Q: Let A = O 2√6 00 O-2 02 Note that the quadratic formula = O -1 2 3 -2√6 Find the sum of all…

Q: 4. Determine if the following differential equations are linear: a. y' = x siny+ e* b. dy = (sin x)y…

Q: ||

A: Topic:- application of integration

Q: Suppose that X is a binomial random variable with n=300 and p=0.2. Approximate the probability that…

A: Probablity to find the x≤r by binomial distribution is…

Q: Write a rational function with the given characterstics. A) There is a zero at 6, a hole at x=-3,…

A: A) There is a zero at 6, a hole at x=-3, no vertical asymptotes, and horizontal asymptote at y=x-6…

Q: You and a companion are driving a twisty stretch of road in a car with a speedometer but no…

A: Given: Time Velocity 0 0 10 24 20 48 30 40 40 12 50 41 60 39 70 31 80 44 90…

Q: Write the partial fraction decomposition the ratione expression X x2-x-30

A: We have to write the partial fraction decomposition of the rational expression xx2-x-30.

Q: how do you shade 1/5 of a grid

A: The given data is: How do you shade 15 of a grid?

Q: 15. f'(x) for f(x)=xcos (e*)

Q: a.) Without regard to the context of your parabolic model, what is the mathematical domain of your…

A: Given: Parabolic model: y=-7x2/60+119x/60+7 (1)…

Q: = The shaded region between the graphs of y displayed below in orange. -6 <-At- The shaded region…

Q: dy dt + y cos(2t) = 0; y(0) = 1

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the equation of the surface in spherical coordinates, given the equation in Cartesian…

A: The spherical to cartesian coordinate relation is given by: x=ρsin φcos θy=ρsin φsin θz=ρcos φ

Q: Let f(x): = 3.2x + 15.8 if x - 2 if x = 4 4 Determine which one of the following rules for…

Q: A tank is leaking at an increasing rate as indicated by the data below. Use the table to answer the…

Q: A cylinder shaped can needs to be constructed to hold 450 cubic centimeters of soup. The material…

A: Given A cylinder shaped can needs to be constructed to hold 450 cubic centimeters of soup. The…

Q: The temperature T(x, y, z) at a point (x, y, z) on the surface of the sphere x² + y² + z² = 1 is…

A: We need to find temperature and points.

Q: Alexandria has $800,000 saved for retirement in an account earning 3.85% interest, compounded…

Q: Graph y=-cos(4) over one period, then graph y = - cos (4) ry-axis. over the same period, on the same

A: Given function is y=-cosx4 then its Period is 2π14=8πSee below the graph od y=-cosx4 and y=1-cosx4…

Q: Use a finite sum to estimate the average value of f on the given interval by partitioning the…

A: Given, Use a finite sum to estimate the average value of f on the given interval by partitioning the…

Q: (a) lim h→0 (b) lim x-0 e cos² h - 1 h 1 + tan x X √1 - tan x

Q: 1. After Thanksgiving with her extended family, Surrena has a splitting headache. To take the edge…

Q: Determine each of the following limits using any technique, b. lim (₁ -In(x))

Q: Consider the following. x = 5t + 8, y = 8t + 5 (a) Sketch the curve by using the parametric…

A: NOTE: Refresh your page if you can't see any equations. . to graph the line, we need only two…

Q: Calculate S3, S4, and S5 and then find the sum for the telescoping series Σ(112) S3 = where Sk is…

A: Given that telescoping seriesS=∑n=5∞1n+1-1n+2To find :S,S3,S4,S5Solution :S=∑n=5∞1n+1-1n+2Sk=∑n=5k…

Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

Question

How did you get the (2n+1)(2n-1)? I just don't know where the (2n+1) came from.

thanks in advance!

не
Un=
lim unti
na
=
1.3.5
lim
844
(5")n!
lim
5 no
} +
= lim (2n+1)
n=∞
-(2n-1)
1.3.5-- (2n-1) (2n+1)
(5+1)(n+1)!
(5)(n+1)
(1 + A₂)
1 + 1 > 1
lim
n+∞ 1+1/n
It sh
·x (5^) n!
1.3-5--- - (2n-1)
Hence the series is
[divergen+]

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

i. Suppose that the sn satisfies both limn→∞ s2n = 3 and limn→∞ s2n+1 = 3. (That is, the sequence given by the even terms of sn and that given by the odd terms of sn both converge to 3.) Show that also limn→∞ sn = 3.ii. Give an example of a sequence where the sequences given by the even and by the odd terms both converge, but where the entire sequence does not converge.
i. Suppose that the sn satisfies both limn→∞s2n = 3 and limn→∞s2n+1 = 3. (That is, the sequence given by the even terms of sn and that given by the odd terms of sn both converge to 3.) Show that also limn→∞sn = 3.ii. Give an example of a sequence where the sequences given by the even and by the odd terms both converge, but where the entire sequence does not converge.
Show limn→∞(1 +1/2+1/3+···+1/n−lnn) exists
limit as n approaches infinity of (1-n)/(3n+5)
find the limit. lim(x-->2^-) ln(-1/x-2)
what is the limit of lim xsinx / 2-2cosxx--0 problems online show l'hopitals rule but i was wondering if there is another way to solve it without using that rule
Explain why if an converges, then limn→∞ an = limn→∞ an+1. With proof!
A. Explain why these limits do not converge. i. limx → 1+ |x-1| / (x-1)ii. limx → 1+ |x-1|iii. limx → 1+ |x-1| / (x-1)2
Compute this limit to infinity limx→∞ of (7x^3 + 2020x+ 4)/(πx^3+ 18x^2+ 12)
Suppose that (sn) and (tn) are sequences so that sn = tn except for finitely many values of n. Using the definition of limit, explain why if limn → ∞ sn = s, then also limn → ∞ tn = s.
E. i. Suppose that the sn satisfies both limn→∞ s2n = 3 and limn→∞ s2n+1 = 3. (That is, the sequence given by the even terms of sn and that given by the odd terms of sn both converge to 3.) Show that also limn→∞ sn = 3.ii. Give an example of a sequence where the sequences given by the even and by the odd terms both converge, but where the entire sequence does not converge. .
It shows that limn→∞|bn|= 0 if and only if limn→∞bn= 0. However, it gives an example of a succession{cn} n ∈ Ntal that limn→∞|cn|=L and L other than 0 but limn→∞cn does not exist (you must argue why such a limit does not exist) Note: the demonstration must be non-numeric, the example must be numerical and must be proven because the cn limit does not exist