Results 1 to 3 of 3

Math Help - Need help on solving Limits.

  1. #1
    Newbie
    Joined
    Dec 2010
    From
    Singapore
    Posts
    8

    Need help on solving Limits.

    How to solve, lim x--->0 x/ln(1+x). Thanks in advance!\



    Say Khong
    God Bless.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Nov 2010
    From
    Clarksville, ARk
    Posts
    398

    L'H˘pital's Rule

    Quote Originally Posted by saykhong View Post
    How to solve, lim x--->0 x/ln(1+x). Thanks in advance!\

    Say Khong
    God Bless.
    Limit is of the form: 0/0.

    Use L'H˘pital's rule.

    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Joined
    Dec 2009
    Posts
    3,120
    Thanks
    1
    Quote Originally Posted by saykhong View Post
    How to solve, lim x--->0 x/ln(1+x). Thanks in advance!\



    Say Khong
    God Bless.
    \displaystyle\ y=\frac{1}{x}\Rightarrow\ x\rightarrow\ 0,\;\;\;y\rightarrow\infty

    \displaystyle\lim_{y \to \infty}\frac{1}{y\;ln\left[1+\frac{1}{y}\right]}=\lim_{y \to \infty}\frac{1}{ln\left[1+\frac{1}{y}\right]^y}=\frac{1}{ln(e)}=1
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Taylor's series help on solving limits.
    Posted in the Calculus Forum
    Replies: 4
    Last Post: November 23rd 2011, 02:52 PM
  2. Replies: 5
    Last Post: May 10th 2011, 05:04 AM
  3. limits problem solving help!!!!
    Posted in the Calculus Forum
    Replies: 1
    Last Post: December 7th 2008, 10:20 PM
  4. I'm stumped about solving limits at infinity
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 18th 2008, 09:11 AM
  5. Solving limits by change of variable
    Posted in the Calculus Forum
    Replies: 4
    Last Post: July 11th 2007, 10:29 PM

Search Tags


/mathhelpforum @mathhelpforum