Question

integral from 0 to infinity e^-4x
@AccessDenied

Answer 1

tell whether it converges or diverges and if it converges evalute it

Answer 2

so you have integrated the e^(-4x) thing right?

Answer 3

yes its 1/4e^-4x

Answer 4

-1/4e^(-4x)?

Answer 5

yes

Answer 6

ok so we don't plug in infinity we say the lim as something goes to infinity of that thing

Answer 7

yes. limit as b goes to infinity we'll say

Answer 8

what i'm saying is:
\[\lim_{z \rightarrow \infty}[\frac{-1}{4}e^{-4z}-\frac{-1}{4}e^{-4(0)}]\]

Answer 9

And oh did @AccessDenied want to do this one?

Answer 10

I got your private message and I just ran here

Answer 11

lol

Answer 12

without noticing

Answer 13

okay how would i evaluate that

Answer 14

lol i messaaged both of you ;p