(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the Taylor series of e^(x^2) about x=0

2. Relevant equations

Taylor Series = f(a) +f'(a)(x-a) + (f''(a)(x-a)^2)/2 ........

3. The attempt at a solution

So, the first term is pretty obvious. It's e^0^2, which is zero.

The second term is what got me. (e^x^2)'=2x*(e^x^2), so at zero that is zero. Multiply by x, still zero. But the answer key says the second term is x^2. I really cannot understand this.

Thanks!

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# Homework Help: E^(x^2) taylor series

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