Taylor Series (Maclaurin): e^(x^2) = 1 +x^2+x^4/2!+...

[ohayme]

Given the Maclaurin series e^(x^2) = 1 +x²+x⁴/2!+......
Find the series representation for xe^(x^2). Write the first three terms and the general term.

 

[Deleted member 4993]

Given the Maclaurin series e^(x^2) = 1 +x²+x⁴/2!+......
Find the series representation for xe^(x^2). Write the first three terms and the general term.

This involves simple algebraic multiplications - did you even try it - with pencil&paper??!!

What are your thoughts?

Please share your work with us ...even if you know it is wrong

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/th...Before-Posting

 

[Bob Brown MSEE]

hint

Think about multiplying both sides of the "Given" by x.

 

[Steven G]

Given the Maclaurin series e^(x^2) = 1 +x²+x⁴/2!+......
Find the series representation for xe^(x^2). Write the first three terms and the general term.

As Bob Brown pointed out you should ask yourself what do you do to go from e^(x^2) to xe^(x^2)