[₁ Let Cn(x-7)7 n+1 be a power series centred at 7. What is the power series representation for ΣCn+1(x-7)7 n 00 n=0 00 n=0 Σcn(7 n +1)(x-7)7 n n=0 n=0 Cn (7 n+2)! -(x-7)7 n+2 Cn Σ -(x-7)7 n+2 7 n+2 n=0 f(x)dx?

I need the solution of this two

Consider the series 2n En=1 n³+3n² –2 This series [ Select ] This can be shown using the [Select ] Test.

I am working with power series and this answer explanation shown in the screen shot does not make sense to me. Why and are they reindexing and how to they get that resulting answer?