# Show that the sequence is Divergence

• May 8th 2013, 06:53 AM
weijing85
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
• May 8th 2013, 07:21 AM
Plato
Re: Show that the sequence is Divergence
Quote:

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 $\frac{3\cdot 2^k+5k\cdot 2^k+2^k\cdot\sqrt{k^3}}{k^2\cdot 2^k+k}$
• May 8th 2013, 05:16 PM
Prove It
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?