Question

In: Math

Tests for divergence of convergence 4) a) Use the ratio test to deteremine whether the series...

Tests for divergence of convergence

4)

a) Use the ratio test to deteremine whether the series converges or diverges

infinite sum (4^n)/(n!)

n = 1

b) Use the root test to determine whether the series converges or diverges

infinite sum ((2n + 1)/7n + 4) ^ 2n

n = 1

stuck on this hw question !

Solutions

Expert Solution


Related Solutions

Use an appropriate comparison test to determine the convergence/divergence of the following series: a.)∑ n= (1)/(√n−1)...
Use an appropriate comparison test to determine the convergence/divergence of the following series: a.)∑ n= (1)/(√n−1) (Upper limit of the sigma is ∞ and the lower limit of the sigma is n=2) b.) ∑ n=n(n+1)/(n^2+1) (n-1) (Upper limit of sigma is ∞ and the lower limit of sigma is n=2) c.) ∑ n= cos^2(n)/ (n^3/2) (Upper limit of sigma is ∞ and the lower limit of sigma is n=1) d.) ∑ 5^n/(√n4^n) (Upper limit of sigma is ∞ and the...
Test the series for convergence or divergence. ∞∑n=1(−1)nn4n Identify bn.
Test the series for convergence or divergence. ∞∑n=1(−1)nn4n Identify bn.
For each of the following numerical series, study its convergence or its divergence, by specifying the...
For each of the following numerical series, study its convergence or its divergence, by specifying the criterion used Let? (?) = ∫cos (?3) dx (a) (3 points) ExpressF (x) as a series of powers. (b) (2 points) Limiting to the first four non-zero terms of the previous series, estimate the value of ? = ∫√? cos (?3) ??. −√? (c) (1 point) Evaluate the error made by this approximation.
Prove the Weierstrass M-test for uniform convergence of Series of Functions.
Prove the Weierstrass M-test for uniform convergence of Series of Functions.
Using python coding, test for convergence of an infinite sequence or series. keep the coding at...
Using python coding, test for convergence of an infinite sequence or series. keep the coding at beginner level please!
2. Use Σ-notation to write down an example of a series for which the ratio test...
2. Use Σ-notation to write down an example of a series for which the ratio test is inconclusive but the integral test is conclusive. You don’t need to show how you got your answer, but you should show that your answer is correct.
Determine the radius of convergence and the interval of convergence of the following power series. ∞...
Determine the radius of convergence and the interval of convergence of the following power series. ∞ ∑ n=1 (2^(1+2n))/ (((−3)^(1+2n)) n^2) (4x+2)^n .
find the radius of convergence and interval of convergence of the series ∑ n=1 ~ ∞...
find the radius of convergence and interval of convergence of the series ∑ n=1 ~ ∞ (3^n)((x+4)^n) / √n Please solve this problem with detailed process of solving. I can't understand why the answer is [-13/3, -11/3) I thought that the answer was (-13/3, -11/3]. Can you explain why that is the answer?
Use the preliminary test to decide whether the following series are divergent or require further testing....
Use the preliminary test to decide whether the following series are divergent or require further testing. Sum (3+2i)^n/n!
What is the difference between divergence and convergence. There is one common trait, name that trait....
What is the difference between divergence and convergence. There is one common trait, name that trait. Define and give an example of each rule, Semantic, Syntactic, and Pragmatic. Define and explain how relative words work in communication.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT