[Steps Shown] Find the interval of convergence: ∑limits_n=1^∞ ((-1)^n+1)/(5)^n-34^n+2(x-1)^beginsmallmatrix n+1 , \endsmallmatrix ∑limits_n=1^∞
Question: Find the interval of convergence:
-
\[\sum\limits_{n=1}^{\infty }{\frac{{{(-1)}^{n+1}}{{5}^{n-3}}}{{{4}^{n+2}}}}{{(x-1)}^{\begin{smallmatrix}
n+1 \\
\end{smallmatrix}}}\] - \[\sum\limits_{n=1}^{\infty }{\frac{3\cdot 5\cdot 7\cdot 9\cdot \cdot \cdot (2n+1)}{{{10}^{n}}(2n+1)(n-1)!}}{{(x+5)}^{n}}\]
- \[\sum\limits_{n=1}^{\infty }{\frac{n{{4}^{n+1}}}{(n+2)!}}{{(x-4)}^{n}}\]
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