For , evaluate as a simplified elementary function of…

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

For

|x|<1

, evaluate

S(x)=\displaystyle \sum_{n=0}^{\infty} \frac{x^{\,n+1}}{n+1}

as a simplified elementary function of

x