(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Determine whether the following integral is convergent or divergent. If convergent, what does it converge to?

dx/(4x^2 + 4x + 5) [-infinity, infinity]

2. Relevant equations

comparison theorem?

3. The attempt at a solution

I think it is convergent, so I set the original integral less than or equal to dx/4x^2.

Solving the integral and setting up a limit, I got the limit as t-->infinity of (4x^-1)/-1 evaluated from [-infinity, t]. Now here is where I get lost. Evaluating it at t gives 0, but when I plug in the lower limit of 0, isn't it possible to say that the 0 either belongs in the numerator if there is a -1 exponent there, as well as saying that it doesn't exist if I move (4x^-1) into the denominator?

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# Convergence or divergence

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