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Gnom [1K]
3 years ago
9

Select the true statement about the series, ¾ + 7/8 + 11/12 + 15/16…

Mathematics
1 answer:
Minchanka [31]3 years ago
3 0
\dfrac34+\dfrac78+\dfrac{11}{12}+\dfrac{15}{16}+\cdots=\displaystyle\sum_{n\ge1}\frac{4n-1}{4n}

We have

\displaystyle\lim_{n\to\infty}\frac{4n-1}{4n}=\dfrac44=1\neq0

which means the sum diverges.
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