Asked by Max
this is the last problem on my homework and I JUST CANT GET THE RIGHT ANSWER!! Help. :/
limit as x -> -infinity of:
(1-(3/x))^2x
limit as x -> -infinity of:
(1-(3/x))^2x
Answers
Answered by
Steve
You know that lim(1 + 1/x)^x = e
let u = x/3, so x = 3u
lim(1 + 3/x)^2x = lim(1 + 1/u)^(6u)
= lim((1 + 1/u)^u)^6 = e^6
If you do a web search for "limit 1+a/x^bx" the first site shows a way to evaluate it using L'Hospital's Rule.
let u = x/3, so x = 3u
lim(1 + 3/x)^2x = lim(1 + 1/u)^(6u)
= lim((1 + 1/u)^u)^6 = e^6
If you do a web search for "limit 1+a/x^bx" the first site shows a way to evaluate it using L'Hospital's Rule.
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.