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- Find the power series and the interval of convergence for f(x)=1/(1-2x)To test the series ∞∑k=117√k5∑k=1∞1k57 for convergence, you can use the P-test.(You could also use the Integral Test, as is the case with all series of this type.)What is the power series for f(x)=lnx about x=2. Give the interval of convergence