Question

Prove the ratio test  . What does this tell you if lim |.1n+1/01 700 exists?

(Ratio test) If In+1/xn < for all sufficiently large n and some
r < 1, then \sum x_{n} converges absolutely; while if 2x+1/2 > 1 for
all sufficiently large n, then \sum \left x_{n} diverges.

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