Solved: Let be a convergent series, and let be the remainder of the series after the
Chapter 9, Problem 130(choose chapter or problem)
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 \(\lim _{N \rightarrow \infty} R_{N}=0\).
Text Transcription:
Sigmaa_n
R_N=a_N+1+a_N+2+cdots
lim_NinftyR_N=0
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