Examine the continuity at of the sum function of the infinite series

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

Problem

Examine the continuity at x=0x = 0 of the sum function of the infinite series xx+1+x(x+1)(2x+1)+x(2x+1)(3x+1)+…\frac{x}{x+1} + \frac{x}{(x+1)(2x+1)} + \frac{x}{(2x+1)(3x+1)} + \dots

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