Let, f(x) = SUM n_infinity x^n/x^2 find interval of convergence: f, f', and f" thanks for any help for this one.
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Originally Posted by rcmango Let, f(x) = SUM n_infinity x^n/x^2 find interval of convergence: f, f', and f" thanks for any help for this one. This is not a power series.
Originally Posted by rcmango Let, f(x) = SUM n_infinity x^n/x^2 find interval of convergence: f, f', and f" thanks for any help for this one. f(x) = SUM_{n=1 to infty} [x^n/x^2] = sum_{x=1 to infty} x^{n-2} has a singularity at x=1 otherwise is convergent when |x|<1 when: sum_{x=1 to infty} x^{n-2} = 1/x + 1/(1-x) = 1/[x(1-x)] RonL
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