Ask a New Question

Asked by Callie

Find the limit as x->infinity of (1+8/x)^x
9 years ago

Answers

Answered by Steve
recall that

(1 + 1/x)^x --> e

and now let x=8u to get

(1+1/u)^8u = [(1+1/u)^u]^8 = e^8
9 years ago
There are no AI answers yet. The ability to request AI answers is coming soon!

Submit Your Answer


We prioritize human answers over AI answers.

If you are human, and you can answer this question, please submit your answer.

Related Questions

Limit as x approaches infinity of (2^n + 3^n)^(1/n) limit as x approaches infinity; tan^(-1) (x^2 - x^4) any help is appreciated =D The limit from x--> infinity of x^(3/x) i keep getting 3/infinity, which is infinity and this ans... as x-> + infinity (limit) 3x^4-2x^2/x^4+5x^2 i got positive infinity. is this right Limit as n goes to infinity of ((2n)!/(n^n)). Find the limit as x->infinity of ((3x+2)/(3x+4))^(3x+1) Limit = x-->infinity 11x^5+4x^3-6x+2/6x^3+5x^2+3x-1 My work: After doing lots of work I got... limit x tends to infinity POW(x,x) limit x tends to infinity ( 1+root n)/(1-rootn) limit x tends to infinity, x(e-((x+2)/(x+1))^x)
Submit Your Answer

Question

Find the limit as x->infinity of (1+8/x)^x

Ask a New Question
Archives Contact Us Privacy Policy Terms of Use