A community for students.
Here's the question you clicked on:
 0 viewing
MarcLeclair
 2 years ago
Use L'hospital rule to find the following limit:
Lim x>0+ 6(tan(4x))^x
I did this: Lim x>0+ xln 6(tan(4x))
which is the same as: ln 6(tan(4x)) / (1/x)
Take the derivative: (1/6tan(4x))) * 6(sec^2(4x))(4) / (1/x^2).
But I can't find a way to cancel out my denominator :/ the answer isn't infinity either
MarcLeclair
 2 years ago
Use L'hospital rule to find the following limit: Lim x>0+ 6(tan(4x))^x I did this: Lim x>0+ xln 6(tan(4x)) which is the same as: ln 6(tan(4x)) / (1/x) Take the derivative: (1/6tan(4x))) * 6(sec^2(4x))(4) / (1/x^2). But I can't find a way to cancel out my denominator :/ the answer isn't infinity either

This Question is Closed

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0leave the six out of it, put it in at the end

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0\[x\ln(\tan(4x)\] \[\frac{\ln(\tan(4x))}{\frac{1}{x}}\]etc

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0\[4x^2\csc(4x)\sec(4x)\] i think is the next step

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0oh i see still a problem

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0maybe flip the other way

sirm3d
 2 years ago
Best ResponseYou've already chosen the best response.2\[\large= \frac{ 4x }{ \sin 4x }\frac{ x }{ \cos 4x }\] there is no problem

MarcLeclair
 2 years ago
Best ResponseYou've already chosen the best response.0your sin will make the denominator 0 even if multiplied :/

MarcLeclair
 2 years ago
Best ResponseYou've already chosen the best response.0or am I just not understanding something ?

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0no @sirm3d as it! first limit is 1

MarcLeclair
 2 years ago
Best ResponseYou've already chosen the best response.00ooh take the limit of each... stupid me.

MarcLeclair
 2 years ago
Best ResponseYou've already chosen the best response.0Thanks to both of you
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.