Question

In: Math

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?

Solutions

Expert Solution

milcah answered 2 years ago
Next > < Previous

Related Solutions

1) Find the radius of convergence and interval of convergence of the given series Σ x^2n/n!...
1) Find the radius of convergence and interval of convergence of the given series Σ x^2n/n! 2) Find the power series representation of f(x)=(x-1)/(x+2) first then find its interval of convergence.
#13) Find the radius and interval of convergence of the power series (Sigma∞ n=1) (−1)^n(x −...
#13) Find the radius and interval of convergence of the power series (Sigma∞ n=1) (−1)^n(x − 1)^n/n4^n by responding to the following sequence of questions. (a) Compute the limit L = lim n→∞ |an+1|/|an| . (b) Given that the power series absolutely converges for L < 1 by the Ratio Test, compute the radius of convergence, where the radius of convergence is the real number R such that the power series converges for all |x| < R. (c) Test whether...
Find the radius of convergence, R, of the series. Find the interval, I, of convergence of...
Find the radius of convergence, R, of the series. Find the interval, I, of convergence of the series. (Enter your answer using interval notation ∞ (−1)n  (x − 4)n 3n + 1 n = 0 ∞ (x − 4)n n7 + 1 n = 0 ∞ 7n (x + 5)n n n = 1 ∞ (x − 13)n nn n = 1 ∞ 4nxn n2 n = 1
Find the radius and interval of convergence of the series X∞ n=1 3^n (x − 5)^n/(n...
Find the radius and interval of convergence of the series X∞ n=1 3^n (x − 5)^n/(n + 1)2^n
Find the sum and interval of convergence a power series I need radius of convergence or...
Find the sum and interval of convergence a power series I need radius of convergence or sum of series
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 Taylor series expansion of log(1+z) and show radius of convergence
Find Taylor series expansion of log(1+z) and show radius of convergence
Find the power series representation of the following functions and find the corresponding radius of convergence....
Find the power series representation of the following functions and find the corresponding radius of convergence. 1. x2(ln(5+ x)) 2. 4x/(1 + x)3
Find a power series that represents the function and find the interval of convergence: a) g(x)...
Find a power series that represents the function and find the interval of convergence: a) g(x) = 1 / (3+x^2)^2 b) h(x) = ln(5 + x^2)
find the power series representation and give the interval of convergence. assume that the center of...
find the power series representation and give the interval of convergence. assume that the center of the series is a=0 g(x)= x^5 / (1+x)^3
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT