Interval of convergence
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Find the interval of convergence of (a) f(x), (b) f'(x), (c) f''(x), (d) {f(x)dx
En=1 [(-1)^n+1 (x-2)^n ] / 2
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Solution. I guess your question is to find the interval of the series with power function term. Is the general term as follows?
Fn(x)=1/2*[(-1)^(n+1)*(x-2)^n]
I answer your question if Fn(x) is of the form above.
The series F1(x)+F2(x)+...+Fn(x)+...
=1/2*(x-2)-1/2*(x-2)^2+...+1/2*(-1)^(n+1)*(x-2)^n+...
...
Solution Summary
An interval of convergence is found.
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