1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    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!

Limits problem

  1. Feb 10, 2016 #1
    • Member warned about posting without the homework template
    hi I don't understand how to do one type of homework problem, here's an example of the type:
    If limit of f(X)/X = 1 as X ->0 evaluate the limit f(X) as X->0
     
  2. jcsd
  3. Feb 10, 2016 #2
    I realize now that f(X) must equal X and therefor the limit is 0
     
  4. Feb 11, 2016 #3

    Samy_A

    User Avatar
    Science Advisor
    Homework Helper

    That's not a correct argument.

    For example, ##\displaystyle \lim_{x\rightarrow 0} \frac{\sin x}{x}=1##, but clearly ##\sin x \neq x## (for ##x \neq 0##).

    You could use the product rule for limits: ##\displaystyle \lim_{x\rightarrow 0} g(x)h(x)=(\lim_{x\rightarrow 0} g(x))(\lim_{x\rightarrow 0} h(x))## provided the limits exist.
    Notice that ##f(x)=x\frac{f(x)}{x}##.
     
    Last edited: Feb 11, 2016
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Limits problem
  1. Limit Problems (Replies: 8)

  2. Limit problem (Replies: 4)

  3. Limit problem (Replies: 14)

  4. Limits problem (Replies: 4)

  5. Limit problem (Replies: 4)

Loading...