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rcmbimp
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Non analytic function?
I was set this question as part of an extra problem sheet by my maths teacher, and i don't know where to start. He said its like first year university maths standard, and gave me hints to use the maclaurins and binomial series. I am 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.
Maclaurins series
Binomial expansion
I don't know where to start
Homework Statement
I was set this question as part of an extra problem sheet by my maths teacher, and i don't know where to start. He said its like first year university maths standard, and gave me hints to use the maclaurins and binomial series. I am 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.
Homework Equations
Maclaurins series
Binomial expansion
The Attempt at a Solution
I don't know where to start