∞n3nUse the ratio test to determine whether(n + 2)!n=29converges or diverges.(a) Find the ratio of successive terms. Write youranswer as a fully simplified fraction. For n ≥ 29,an+1= limlimN→∞ AnN→∞(b) Evaluate the limit in the previous part. Enter ∞ as infinityand - as -infinity. If the limit does not exist, enter DNE.an+1lim=n→∞an(c) By the ratio test, does the series converge, diverge, or isthe test inconclusive? Choose

Answered: Image /qna-images/answer/bfeb445f-5bf9-40ad-9a10-060b78e55c13.jpg

Answered: Use the ratio test to determine whether…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.1: Infinite Sequences And Summation Notation

Problem 76E

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Use the ratio test to determine whether ∑n=21∞5n(2n)!∑n=21∞5n(2n)!x converges or diverges.(a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n≥21n≥21, limn→∞∣∣∣an+1an∣∣∣=limn→∞limn→∞|an+1an|=limn→∞ (b) Evaluate the limit in the previous part. Enter ∞∞ as infinity and −∞−∞ as -infinity. If the limit does not exist, enter DNE.limn→∞∣∣∣an+1an∣∣∣limn→∞|an+1an| = (c) By the ratio test, does the series converge, diverge, or is the test inconclusive?
Evaluate the limit lim n→ ∞ √( 9n^4)+13n^3-5n-10 / -√( 25n^16)+5n^2-9n Also find the asymptotic value of above limit
what is the limit? (1-x2)* ((summation xn )^2) (n from zero to infinity) for x less than one and more than zero
1a. Evaluate the limit using the appropriate properties of limits. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not otherwise exist, enter DNE.) lim x-> -∞ \sqrt((16x^3+5x-6)/(3-8x+x^3)) ***the whole fraction is squarerooted 1b. Find the limit. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not otherwise exist, enter DNE.) lim-> ∞ (-3/4x+7)
1. Evaluate the limit algebraically if they exist. The limit as of x approaches 3, square root of x minus the square root of 3 divided by x minus 3.
15.2.25#11 Evaluate the limit. lim 8y^2-512/xy+8x (x,y)--->(8,-8) Find an expression that is equal to f(x,y)=8y^2−512/xy+8x, for all (x,y) in the domain of f, that will be better suited to find the limit, if it exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Find the limit: A.) limit n to infinity (2n(n-3))/(2n(3n+2)) B.) limit n to infinity ((n^3)+2n-5)/(n(n+2))
Find the limit of 1/n(n!)^1/n as n approaches infinity
2) Using the definition of limit (so, without using Arithmetic of Limits), show that a) limn→∞ (4 + n) / 2n = 1/2 b) limn→∞ 2/n + 3/(n+1) = 0
q2 Evaluate the limit
C. 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. Explain this by just using definition of limit!Thanks
B. Using the definition of limit (so, without using Arithmetic of Limits), show thati. limn→∞ (4 + n) / 2n = 1/2ii. limn→∞ 2/n + 3/(n+1) = 0

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