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Activity 8.6.2.
Determine the interval of convergence of each power series.
(a)
\(\sum_{k=1}^{\infty} \frac{(x-1)^k}{3k}\)
(b)
\(\sum_{k=1}^{\infty} kx^k\)
(c)
\(\sum_{k=1}^{\infty} \frac{k^2(x+1)^k}{4^k}\)
(d)
\(\sum_{k=1}^{\infty} \frac{x^k}{(2k)!}\)
(e)
\(\sum_{k=1}^{\infty} k!x^k\)
