Determine whether the integral is convergent or divergent. ∫[infinity] 2 e^−1/x / x^2 dx : o convergent o divergent if it is convergent, evaluate it. (if the quantity diverges, enter diverges.)

Let . Then for all , so is strictly increasing. As , , so is bounded above by 1. This is to say,

and the integral of converges over the same domain, so this integral must also converge by comparison.

We have, by setting ,

step-by-step explanation:

i think you should think about the question and not look online.

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.