1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

L'hospital rule

  1. Feb 13, 2006 #1
    anybody knows how to solve this using L'hospital rule pls
    (cot x) ^ sin2x with limi X to zero
  2. jcsd
  3. Feb 13, 2006 #2


    User Avatar
    Homework Helper

    You can write:

    [tex]f\left( x \right)^{g\left( x \right)} = e^{\ln \left( {f\left( x \right)^{g\left( x \right)} } \right)} = e^{g\left( x \right)\ln \left( {f\left( x \right)} \right)}[/tex]


    [tex]\mathop {\lim }\limits_{x \to 0} f\left( x \right)^{g\left( x \right)} = e^{\mathop {\lim }\limits_{x \to 0} \left( {g\left( x \right)\ln \left( {f\left( x \right)} \right)} \right)} [/tex]

    Does this help you any further? Remember that for L'Hopital, you're trying to get 0/0 or ∞/∞.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook