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    radius of the power series

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    Find the radius of convergence of ∑▒〖(a_n x^n)〗, given a_n=1when n is the square of a natural number and a_n otherwise. If a_n=1 when n=m! for n∈N and a_n=0 otherwise, find the radius of convergence of ∑▒〖(a_n x^n)〗.

    Determine the radius of convergence of ∑▒〖(a_n x^n)〗, if 0<ρ≤|a_n |≤q for all n∈N.

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    https://brainmass.com/math/real-analysis/radius-power-series-298876

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    To find the radius of the power series , we use the following theorem.
    Theorem: Let , then the radius of convergence is .

    Problem #1
    (a) Find the radius of convergence of , given if is ...

    Solution Summary

    This job determines the radius of the power series.

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