Question

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.

Answer #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)

1) Find the radius of convergence, R, of the series and Find the
interval of convergence, I, of the series. (Enter your answer using
interval notation.)
∞
4nxn
n2
n = 1
2) Find the radius of convergence, R, of the series.
Find the interval of convergence, I, of the series. (Enter
your answer using interval notation.)
∞
(x −
4)n
n7 + 1
n = 0

Find the radius of convergence and the interval of convergence
of the power series. (Please check endpoints) X∞ n=1 ((x −
2)n )/(n3n )

Find the radius of convergence, R of the series. And find the
interval of, I, of convergence of the series.
The sum from n=1 to infinity: (4^n)(n^2)(x^n)

1) Find the interval of convergence I of the series.
(Enter your answer using interval notation.)
∞
7n (x +
5)n
n
n = 1
2) Find the radius of convergence, R, of the following
series.
∞
n!(7x
− 1)n
n = 1
3) Suppose that the radius of convergence of the power
series
cn xn
is R.
What is the radius of convergence of the power series
cn x5n
?
4) Find the radius of convergence, R, of the...

Find the radius of convergence, R, of the series. ∞ n = 1 (x +
6)n / 6n ln(n)
and find the interval of convergence

For the series ∑∞ n=0 ((-1)^(n-1)) ((x-7)^n)/n
a) Find the radius and interval of absolute convergence.
b) For what values of x does the series converge
conditionally?

Find the radius of convergence, R, of the series.
∞
n
7n
(x + 3)n
n = 1
R =
Find the interval, I, of convergence of the series. (Enter
your answer using interval notation.)
I =

find the radius of convergence, R, of the series.
Sigma n=1 to infinity x^n/(4^nn^5)
R=
Find the interval, I of convergence of the series.

Consider The Power Series: ∞∑n=0 (2x)^n a)Find the radius of
convergence b)Find the interval of convergence

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