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MTH 251-Lecture 26-The ratio and root tests
Ratio Test Proof:
There is an N, so that if n,
This series is geometric and converges, so,
converge or diverge?
Use the ratio test…
This is indeterminate, so, bring down the power,
is absolutely convergent by the ratio test.
Recall, however that it would be much quicker to show convergence by the comparison test.