Solve sum_n=1^infty(2^{n}+3^{n})x^{n}quadtext{2.}sum_n=1^infty(-1)^n-11/n(x-4)^n-1quadtext{3.}sum_n=1^inftyn/2^nx^2n

$$\sum _ { n = 1 } ^ { \infty } ( 2 ^ { n } + 3 ^ { n } ) x ^ { n } \quad \text { 2. } \sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n - 1 } \frac { 1 } { n } ( x - 4 ) ^ { n - 1 } \quad \text { 3. } \sum _ { n = 1 } ^ { \infty } \frac { n } { 2 ^ { n } } x ^ { 2 n }$$

Evaluate

$$6\left(\sum _{n=1}^{\infty}\left(2^{n}+3^{n}\right)x^{n}\left(\sum _{n=1}^{\infty}\frac{\left(4-x\right)^{n-1}\left(\sum _{n=1}^{\infty}\frac{nx^{2n}}{2^{n}}\right)}{n}\right)\right)$$

Differentiate w.r.t. x

$$\text{Indeterminate}$$