A student applies the ratio test to the series and obtains a limit of
MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series
Problem
A student applies the ratio test to the series n=1∑∞n2+1n and obtains a limit of 1, which is inconclusive. Indicate a different convergence test that will resolve the behavior of the series and briefly explain, in one sentence, why it succeeds where the ratio test fails.