Question

The radius of convergence for x^2 * e^x ?

Answer 1

was there suppose to be a series thing here ?

Answer 2

It said "Find the first five non-zero terms of Taylor series centered at x=0 for the function below."

Answer 3

and for that part of the question can you tell me what you got ?

Answer 4

x^2 + x^3 + x^4 / 2 + x^5 / 6 + x^6/24

Answer 5

\[\sum_{n=1}^{\infty}\frac{x^{n+1}}{(n-1)!}\]

Answer 6

I would suggest using the ratio test

Answer 7

Okie

Answer 8

The radius of convergence is infinity.

Answer 9

why do you say that?

Answer 10

can you tell me what have simplified this part to:
\[a_{n+1} \cdot \frac{1}{a_n}=\frac{x^{n+2}}{n!} \cdot \frac{(n-1)!}{x^{n+1}}\]

Answer 11

anyways good work