State precisely the condition involving and an integer that must be satisfied by the…

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

Problem

State precisely the condition involving

\varepsilon>0

and an integer

N

that must be satisfied by the sequence of partial sums

\{S_n\}

for the infinite series

\sum_{k=1}^{\infty} a_k

to converge to a real number

S