Asked by maura
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.
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.
Answers
Answered by
maura
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.
Answered by
Reiny
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)
(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)
Answered by
maura
oh okay i understand now! thank you so much for helping me. i really do appreciate it!
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