Sumation from 1 to infinity of [3^n + 4] / 2^n converges or diverges?
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Given , I guess you can apply direct comparison test here. Let , consider another sequence . We have . Since the geometric series is obvious divergent. We can conclude that the given series must also be divergent.
Diverges, you can use the comparison test to show this, using then using the root test on , you get , therefore it diverges
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