Friday 13 February 2015

calculus - How to show that his series converges or diverges using LCT or CT?

$$\sum_{n=1}^{\infty}\left (\sqrt{n^4+1}-n^2\right)$$



The question states that either the limit comparison or comparison test can be used to determine whether the series converge or diverge. I tried finding a $B_n$ in order to test $\frac{A_n}{B_n}$ for the limit comparison but having trouble coming up with $B_n$ that I know will converge or diverge. Maybe I'm going about this the wrong way. Any help would be appreciated.

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