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Find the intervals of convergenceof f(x),f '(x), f ''(x), and ∫f(x) dx. (Besure to include a check for convergence at the endpoints of theintervals. Enter your answer using interval notation.)
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Find the intervals of convergence of f(x),f′(x),f′′(x), and ∫f(x)dx. (Be sure to include a check for convergence at the endpoints of the intervals. Enter your answer using interval notation.) f(x)=n=1∑∞​n8n(−1)n+1(x−8)n​ (a) f(x) (b) f′(x) (c) f′′(x) (d) ∫f(x)dx