dt converges. There is no value of r such that (3t)-" 14.

Q: dx 1 converges or diverges, it would be useful to compare the integrand to To determine if a2 + Va…

A:

Q: Q2 Prove that the scries 2+ x2 3+X2 4+x is Unitormly convergem? in any interval?

A: The given series is: 11+x2+12+x2+13+x2+……. Therefore the given series can be written as:…

Q: 1 (x + 1)2 dx -2

A:

Q: 1 Prove that the integral : Tz dx is convergent. 1+x

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Q: oblem 3. Use the integral test to determine whether Y converges or diverges.

A:

Q: how that fuGe)= x" (1-x") converges bintwise # se G, 1]. Is fn G) Thyenges %3D uni formly?

A:

Q: Determine if +∞o 5 dx √x-1 is convergent or divergent.

A: Solve the improper integral then using expansion at infinity solve limit

Q: WNII sin 2 7) Show that 4 VN converges/diverges.

A:

Q: 00 Determine whether the improper integral ²+37+1 e dx converges or diverges. Show all your steps.

A: Since there is infinity in the upper bound, this is improper integral of type 1.   To evaluate an…

Q: 2 . Does the following integral converge or diverge dx x² -1

A: if a function is continuous on the interval (a,b] and not continuous at x=a then,…

Q: Determine whether the improper integral diverges or converges. 1.f dx (2х-1)3

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: dx Study the convergence of 1= Solution

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Q: cos NII N 2) Show that converges/diverges.

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Q: Find the radius of convergence for: Σ (- 1)"2" n=1 Vn+4

A: use the formula for radius of convergence for the

Q: 1/x e 7 dx y3 -1

A:

Q: dx 3) L. Vx+1

A: Given:

Q: f fn → ƒ uniformly and the functions fn have only jump discon- sinuities, prove that f has only jump…

A: Here we use epsilon delta proof

Q: 30. Determine if the integral dx is convergent or divergent c. Neither a. Convergent b. Divergent d.…

A:

Q: Determine if  ∫3-2(1/x^3)dx  is convergent or divergent.

A:

Q: (c) Show that fn (x) : x2+n? converges uniformly on [0, 0).

A:

Q: 00 6n–1 Зп+2 1 Apply the nth term divergence test to conclude if E converges or diverges.

A: The divergence of a series can be found using the nth term test. Consider the series . Let . If…

Q: 4. Determine whether the function g(x) = roo sin²x converges or diverges by comparing it to f(x)…

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Q: #2. Give a counter exa mple that (Sn) is bounded but not convergent.

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Q: 1 dx et+ e

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Q: Two sequences of functions fn and gn that converge uniformly but fn In does not converge uniformly.

A: See the attachment

Q: A. Below, determine whether or not the integrals are convergent: 1. t-²e'dt 2. et cos tdt

A:

Q: 6 Jlgul sin (nx +3) 1,(x) =- is convergent point wise to zero function. n-1 ylgn O Ihi O

A: Calculate limn→∞fn:  limn→∞fn=limn→∞sinnx+3n-1             =0

Q: A. converges B. diverges

A: Given that the series: A. ∑n=1∞15n B. ∑n=1∞n+6n2+12n+4 To find check the series converges or…

Q: N 2N + 1 2) Show that converges/diverges. +

A: We have to show whether the series converges or diverges.

Q: 2x Check whether the improper integral / -dx converges (x²+2)² or not.

A: Given : Improper integral ∫-∞∞2xx2+22dx To find : Check whether given integral converges or not.…

Q: converges, then C„-)" " con COr n=0

A: We have to choose the correct answer from the given option according to the given series

Q: 2k と(+ 1) converges. Use the integral test to determine whether k-1

A:

Q: Show if x, is convergent or divergent T.3 'n sin(x) dx 1+x S'

A: Introduction: The convergence or divergence of an infinite series depends upon the sum of the…

Q: dX Show that Xe* converges/diverges.

A: Given : an  = 1 / x e(x)^2

Q: Check whether the improper integral 2x dx converges or not. (12+1)

A: Thanks for the question :)And your upvote will be really appreciable ;) It converges

Q: The integral converges; I = }.

A: The integral converges when I=13. We have to give an example.

Q: Determine whether the improper integral -z²+3x+1dx converges or diverges. Show all your steps. e

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Q: A) diverges B) converges

A: If the limit exists and is a finite number, we say the improper integral converges . If the limit is…

Q: Find all real numbers p for which the improper integral ∫∞1t−pdt∫1∞t−pdt converges. For what values…

A:

Q: 1 -dx x In*(ex) 1. e

A: Topic = Integration If the limit exists and is a finite number, we say the improper integral…

Q: What is the radius of convergence from > Vn (x – 1)" n=0

A: Given power series is ∑n=0∞nx-1n The given power series converges if…

Q: Which test to use and is it convergent/divergent? Σ 16n2 – 8n – 3 n=1 - -

A: Use the ratio test, L=limn→∞an+1an=limn→∞116n+12-8n+1-3116n2-8n-3=limn→∞16n2-8n-316n+12-8n+1-3

Q: -5 1 10) Determine whether the improper integral diverges or converges: ī dx Vx-1

A:

Q: îf хи 1+nn } Convergent uniformy in [0,00) ?

A: Introduction: As a sequence of real numbers, a sequence of functions is also convergent or…

Q: dx is convergent V2 1 True False 1, 8.

A:

Q: There is no value of r such that Jo (3t)-r 5 dt converges. 14.

A:

Q: Determine whether the integral ∞∫0dxx2+2x+2 converges or diverges?

A: Given:

Q: The integral 1 dx is convergent x1.10 Select one: True False

A: We have to check

Q: -dx converges ex - e- Select one: O True O False

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.