(a) Sigma_{n = 0}^{infinity} (-1)^n 5^n x^ {8 n} / n factorial. (b) Sigma_{n = 0}^{infinity} 5^ {n + 1} x^ {2 n} / n factorial. Use geometric series summation formula to verify that \int_0^1 \int_0^1 \frac {1}{1 - xy} ...
Multiplicative arithmetic function We discuss the multiplicative arithmetic functions. To find the given sum we analize depending on parity of n. The elementary properties of division operation are included. The famous identity from this...