find the limit.

lim (5-e^x)/(5+3e^x)
(x-> infinity)

how would i go about solving this?
thank you in advance to anyone who can help me.

3 answers

im pretty sure my first step would be to divide the numerator and denominator by e^x but i don't know where to go after that.
Good idea, then your expression would be

(5/e^x - 1)/(5/e^x + 3)

Now, as x ---> infinity , both of the 5/e^x ----> 0
and you are left with

(0-1)/(0+3) = -1/3

(test with your calculator with x = 100)
oh okay i understand now! thank you so much for helping me. i really do appreciate it!