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1. The problem statement, all variables and given/known data

I was set this question as part of an extra problem sheet by my maths teacher, and i dont know where to start. He said its like first year university maths standard, and gave me hints to use the maclaurins and binomial series. Im just a bit stuck... PLEASE HELP... I found an example of a non analytical function on this forum, but just confused me!

the question...

Consider the function

f(x) = "e− 1

x2 if x "= 0

0 if x = 0

.

Calculate the Maclaurin series of f and show that it does not converge to f(x) for x "= 0. In

particular f is not an analytic function.

2. Relevant equations

Maclaurins series

Binomial expansion

3. The attempt at a solution

I dont know where to start

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# Homework Help: Non analytic function?

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