Results 1 to 2 of 2

Math Help - Multivariable Limits

  1. #1
    Member
    Joined
    Sep 2008
    Posts
    117

    Multivariable Limits

    Lim e^(x-y)
    (x,y)->(0,ln2)

    so

    e^(0-ln2) = e^(-ln2)

    ok so I would just think the e and ln would cancel each other and the answer be -2 but that isn't the case. The correct answer is 1/2. Can anyone please show me where this came from?
    Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Drexel28's Avatar
    Joined
    Nov 2009
    From
    Berkeley, California
    Posts
    4,563
    Thanks
    21
    Quote Originally Posted by ur5pointos2slo View Post
    Lim e^(x-y)
    (x,y)->(0,ln2)

    so

    e^(0-ln2) = e^(-ln2)

    ok so I would just think the e and ln would cancel each other and the answer be -2 but that isn't the case. The correct answer is 1/2. Can anyone please show me where this came from?
    Thanks
    e^{-\ln(2)}=e^{\ln\left(\tfrac{1}{2}\right)}=\frac{1}{  2}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Do these 2 multivariable limits exist?
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 14th 2011, 06:09 AM
  2. Replies: 6
    Last Post: March 4th 2011, 09:27 AM
  3. evaluating limits - multivariable calculus
    Posted in the Calculus Forum
    Replies: 2
    Last Post: March 8th 2010, 04:01 PM
  4. multivariable limits
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 9th 2009, 07:06 PM
  5. Multivariable Limits on TI-89
    Posted in the Calculators Forum
    Replies: 3
    Last Post: October 9th 2008, 04:48 AM

Search Tags


/mathhelpforum @mathhelpforum