L'Hopital's Rule limits.
We're currently studying L'Hopital's Rule for limits in Calculus BC, particularly in application to logs. I just have a few questions:
Circled in red are the original problems. I know I have to start by raising the natural log of the function as a power of e, and then taking the natural log of both sides to cancel the e, which I did. Also, I know I'm supposed to make it into a quotient so I can use L'Hopital's Rule, but with #23 I forgot my logarithm properties and am not sure how to change that into a quotient....
For #33, I broke it down alright, but then my answer is wrong (the correct answer is 1), and I by dividing by infinity I get 0 (right?). #23's correct answer is 0.
I tried to derive again for the problems, but then that still doesn't work. What am I doing wrong?
I'd appreciate any help. Thanks!
Circled in red are the original problems. I know I have to start by raising the natural log of the function as a power of e, and then taking the natural log of both sides to cancel the e, which I did. Also, I know I'm supposed to make it into a quotient so I can use L'Hopital's Rule, but with #23 I forgot my logarithm properties and am not sure how to change that into a quotient....
For #33, I broke it down alright, but then my answer is wrong (the correct answer is 1), and I by dividing by infinity I get 0 (right?). #23's correct answer is 0.
I tried to derive again for the problems, but then that still doesn't work. What am I doing wrong?
I'd appreciate any help. Thanks!