Right now we're doing Convergent and Divergent tests. We haven't gotten to Infinite Series' yet, but I know it's coming. I want to see if I have the right answer and make sure I have the right concepts.

$\displaystyle

\int_{0}^{\infty} \frac {dx}{\sqrt{2x+1}}

$

I swap out infinite for t and integrate the equation using substitution and get

$\displaystyle

\sqrt{2x+1}

$

Then I have

$\displaystyle

\sqrt{2t+1}-\sqrt{2(0)+1}

$

Which is

$\displaystyle

\sqrt{2t+1}-\sqrt{1}

$

Is this convergent? Because no matter what value of t, I will always be left with a finite number?