# Series - ratio test

I need help determining how to calculate the limit of a given series using the ratio test (particular problems I am struggling with are attached)

a)Use the ratio test to decide if the series converges or diverges.

Let L be the limit obtained when applying the ratio test. Determine the value of L.

b)Use the ratio test to decide if the series converges or diverges.

Give the value of the ratio.

c) Use the ratio test to decide if the series converges or diverges.

Let L be the limit obtained when applying the ratio test. Determine the value of L.

I am getting the feeling that the first one converges and that the last two diverge. But, I am struggling to calculate the limits. I know to use the formula: |a_(n+1) |/|a_n | .

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Let be an infinite series and let
If L<1 then the series ...