Question

use the comparison test to determine whether or not the integral converges...

Answer 1

\[\int\limits\limits_{1}^{\infty} 1/x ^{4}+e ^{x} dx\]

Answer 2

or you can use the integral test in this case

Answer 3

\[\lim_{R \rightarrow \infty} \int\limits_{1}^{R} (\frac{1}{x^4} + e^x )dx\]

Answer 4

and integrate normally, if you end up witha finite number = converges, but if you end up with infinity = diverges ^_^

Answer 5

give it a try now :)