Limit x-> infinity (f(x+(1/n))/f(x))^n

Calculus
Tutor: None Selected Time limit: 1 Day

Jun 20th, 2015

Thank you for the opportunity to help you with your question!

when n goes to infinite

f(x+1/n)===>f(x+1/infinite)

but

1/infinite=0

so we can write as fallows

when n goes to infinite

{f(x+1/n)/f(x)}^n={f(x+0)f(x)}^n


={f(x)/f(x)}^n

=  1^n

=1^infinite

=1


so the answer is 1

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 20th, 2015

Thank you for being kind to help but the answer is (c) e^(f'(x)/f(x)) :(

Jun 20th, 2015

please wait for while i'll check again

Jun 20th, 2015

i'm sorry i couldn't understand how it can be.please withdraw the question to get your money back..


Jun 20th, 2015

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