Show that if the series converges, then the series a1 a2 2 a3 3 . . . an n . .
Chapter 9, Problem 111(choose chapter or problem)
Show that if the series
\(a_{1}+a_{2}+a_{3}+\cdots+a_{n}+\cdots\)
converges, then the series
\(a_{1}+\frac{a_{2}}{2}+\frac{a_{3}}{3}+\cdots+\frac{a_{n}}{n}+\cdots\)
converges also.
Text Transcription:
a_1 + a_2 + a_3 + cdots + a_n + cdots
a_1 + a_2 / 2 + a_3 / 3 + cdots + a_n / n + cdots
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