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## Homework Statement

The nth term for a sequence is the square root of [n/ (n^4 + 1)]

Investigate whether it is convergence or divergence.

## Homework Equations

Ratio test and integral test

## The Attempt at a Solution

Ratio test will fail for this question, since no conclusion can be drawn if the ratio is 1. So I have to use integral test. I tried integrating the function using integration by part, bu that doesn't work. Trigonometric substitution fail as well. Any idea how to integrate the function?