Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

suju101

  • 4 years ago

lim (sin x )^tanx as x->pi/2

  • This Question is Closed
  1. Rogue
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    This seems like an interesting little problem...\[y = \lim_{x \rightarrow \frac {\pi}{2}} (\sin x)^{\tan x}\]\[\ln y = \ln \lim_{x \rightarrow \frac {\pi}{2}} (\sin x)^{\tan x} \rightarrow \ln y = \lim_{x \rightarrow \frac {\pi}{2}} \tan x \ln (\sin x)\]\[\ln y = \lim_{x \rightarrow \frac {\pi}{2}} \tan x \ln (\sin x) \rightarrow \ln y = \lim_{x \rightarrow \frac {\pi}{2}} \frac {\sin x \ln (\sin x)}{\cos x} = \frac {0}{0}\]

  2. Rogue
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Now you'll have to use L'Hopital's rule to evaluate that. Can you do that or need me to run you through it?

  3. suju101
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i'll try

  4. suju101
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\lim_{x \rightarrow \infty} (lnx)^{1/x}\] can you please help me with this probelm too..

  5. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy