The problem I am working on is:
Use the comparison theorem to determine whether the integral is convergent of divergent. The integral is dx/(x + e^2x) from 1 to infinite.
My question is why does this not work.
For x >= 1, 1/(x+ e^2x) < 1/x, therefore 1/x+e^2x is divergent.
But the correct answer is
For x >= 1, 1/(x+e^2x) < 1/e^2x, therefore 1/x+e^2x is convergent.
Why doesnt mine work?