Question
Recitation Week 4 Discussion Problems
-
40. Prove that lim
esin(r/r)=0.
Expand
Transcribed Image Text

Recitation Week 4 Discussion Problems - 40. Prove that lim esin(r/r)=0.

Expert Answer

1 Rating

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Limits

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: c. Find the area of the reqion bounded by y xe-a and the x-axis on the interval 0,bl. Because this a...

A: Given curve is The area of the region bound by the curve and x-axis on the interval [0,b] is given b...

Q: please explain how to do question 7c

A: The given integral is ∫(1-3x)4dx.

Q: Differentiate the function. s(t) = 7t − 2(3t4 + 4)3

A: The differentiation of the function with respect to t  as follows.

Q: (3x2+5)8x-92 fy(1x4 + x2 logarithmic differentiation gives y (32+5)(8r-92 1x44+x2 16 2x 3x2+5 6-x9 6...

A: We have to find derivative using lograthmic differentiation .Question is given below:

Q: a. find a possible function f and number a b. evaluate the limit by computing f`(a).

A: We first write the given function in the form of the definition of the derivative.  

Q: How can I get the result? Which is the result

A: To find two positive numbers whose sum is 210 and whose product is a maximum.(a) Analytically comple...

Q: Determine the radius of convergence of the following power series. Then test the endpoints to determ...

A: We have been given a power series and we are required to find its radius of convergence as well as i...

Q: 2x 1 dx 3 (2x-1+C 6 C 2 x2-x C 3x

A: Given:The integral is 

Q: Determine the following indefinite integral. 324 dx, x> In 18 A dx 324- e2x Type an exact answer. Us...

A: The given integral is,

Q: 2 -4 0 such that f(x)-4 0, make a conjecture about the value of 8 that satisfies the preceding ineq...

A: For part a, bAccording to epsilon delta limit.Let f(x) be the function defined on an open interval a...

Q: Suppose you are standing in a field near a straight section of railroad tracks just as the locomotiv...

A: As a first step, let's convert the given information in a diagram. Please see the white board.Let A ...

Q: please explain how to solve this problem

A: Consider x be the number of times the price is reduced by $0.05.

Q: You are given the four points in the plane A=(8,−8), B=(10,4), C=(12,−1), and D=(16,1). The graph of...

A: We have given the four point in the plane A, B, C and D.The total integral is to be the sum of the a...

Q: Determine the radius and interval of convergence of the following power series. к?(- 5)2к k! The rad...

A: Given,

Q: 8xy′+4(ln x)y)(4) +5x3 y′=−6x4 y−9xy″   What is the order of the differential equation shown above?

A: The given differential equation is,  8xy′ +4(lnx)y4 +5x3y′ = -6x4y - 9xy″.The order of the highest d...

Q: A) and B) please! I keep trying hahah.

A: To determine the correct choice from (A) and (B) by calculating the position function using antideri...

Q: 3x4 y‴+9x4 =5xy′+5x5 y″+9lnx   Determine the order of the differential equation shown above.

A: The given differential equation is,

Q: Find the exact length of the curve of the equation that is in the picture, make sure that you show a...

A: We first find dy/dx

Q: Use the Substitution​Formula, Integral from a to b f left parenthesis g left parenthesis x right par...

A: Let us assume y=(sec x)/4

Q: Determine if y=e−x+8x−9 is a solution to the initial value problem given by y′+1=8x−y and y(0)=−8.

A: The given differential equation is y′+1=8x−y.The solution of the deferential equation is given as, y...

Q: 7n 5-4n For the following answer blanks, decide whether the given sequence or series is convergent o...

A: (a)we are given a series as 

Q: Hello,  I am having trouble in finding the difference between these equations to find the solutions....

A: Consider the provided trigonometry equation.

Q: I need step by step with explanations, because I turned my brain off and I’m having trouble turning ...

A: (a)The function is f(x) = sin4(4x5).

Q: (x4x2.3) dx = O 5x5-33+3x+ C 4x3 -2x +C 3 3x C 3 4x3 - 2x C (x4-x2+3)2 C

A: Click to see the answer

Q: How do you find the limit of f(x) of the attached equation?

A: Notice that the graph is discontinuous at x=3. 

Q: Assume a person invests $12000 at the end of each year for 30 years at an annual interest rate of r....

A: Part (a)The future value amount should be equal to A = $ 1,000,000.Please see the white board.The mi...

Q: lim x→3(2x3 -12x2 +5x+3)

A: We have to evaluate the limit as shown on white board.Let’s call (2x3  - 12x2  + 5x + 3) as f(x)

Q: Find y' if x^y = y^x .

A: Given, 

Q: Because a new employee must learn an assigned task, production will increase with time. Suppose that...

A: To find the number of units completed in t hours by the new employee, integrate the rate of performa...

Q: For each of the following integrals, indicate whether integration by substitution or integration by ...

A: Known fact:Integration by parts:When an integral contains the product of two functions, then integra...

Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function x2 In(1 x...

A: We know the Maclaurin series for ln(1+x). From there we find Maclaurin series for ln(1+x^3) by repla...

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is inf...

A: f(x) = 12 − 2x   if x < 2 and x2 − x   if x ≥ 2We have to find lim x→2 f(x)

Q: 3x2-3-4e2x and y(0) 8, then y= If dx x3- 3x - 4e2x x3- 3x - 2e2x + 8 x3- 3x - 2e2x x3- 3x - 2e2x + 1...

A: Click to see the answer

Q: :)

A: Given:The given curves are y = x2, x = 1, and y = 0.The volume of the solid revolved around the line...

Q: Suppose f is differentiable on an interval containing a, b, and let P(a,f(a)) and Q(b,f(b)) be disti...

A: Given information:Suppose f is differentiable on an interval containing a, b, and let P(a,f(a)) and ...

Q: When converted to an iterated integral, the following double integral is easier to evaluate in one o...

A: Given information:The given integral function is shown below: 

Q: Question: Find the area of the region bounded by y y0, x1, x-4

A: The area of region bounded by the curve y=(x^2+x-1)/((x)^1/2), x=1,x=4,y=0.

Q: If the formula describing the distance s(in feet) an object travels as a function of time(in seconds...

A: The distance s(in feet) an object travels as a function is s = 100 + 160 t -16t2.It is known that, t...

Q: How does the limiting behavior of solutions depend on the value of y(0)?

A: Given autonomus differential equation:Graph of function f is given.We need to show the the limiting ...

Q: Which is the result?

A: We are given a function as 

Q: How can I get the result? Which is the result?

A: We have to find limits.Question is given below: