## Related questions with answers

Question

Given that

$\frac{1}{1-x}=\sum_{n=0}^{\infty} x^{n}$

with convergence in (−1, 1), find the power series for the function with the given center a, and identify its interval of convergence. $f(x)=\frac{1}{1-2 x} ; a=0$

Solution

VerifiedStep 1

1 of 4Given

$f(x)= \dfrac{1}{1-2x}, \ \ \ a=0$

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