Remainder Let be a convergent series, and let be the remainder of the series after the
Chapter 9, Problem 100(choose chapter or problem)
Remainder Let \(\Sigma a_{n}\) be a convergent series, and let
\(R_{N}=a_{N+1}+a_{N+2}+\cdots\)
be the remainder of the series after the first N terms. Prove that lim \(\lim _{N \rightarrow \infty} R_{N}=0\).
Text Transcription:
Sigma a_n
R_n=a_N+1 + a_N+2 + …
lim_N righttarrow infinity R_N = 0
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