# Thread: Show that the sequence is Divergence

1. ## Show that the sequence is Divergence

My lecturer told me that the sequence is divergence using Limit Comparison Test.

Anyone can kindly help me solve step by step.

Thanks!
Bruce

2. ## Re: Show that the sequence is Divergence

Originally Posted by weijing85
My lecturer told me that the sequence is divergence using Limit Comparison Test.
Anyone can kindly help me solve step by step.

It can be written as $\frac{3\cdot 2^k+5k\cdot 2^k+2^k\cdot\sqrt{k^3}}{k^2\cdot 2^k+k}$

3. ## Re: Show that the sequence is Divergence

This is not a sequence. Are you trying to find the limit of the terms in the sum? Or are you trying to evaluate the sum itself?