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!

General Limits Problem

  1. Aug 31, 2009 #1
    1. The problem statement, all variables and given/known data
    All the problem is asking me to do is find the limit. I have to do it algebraicly too which sucks. I can't figure out how to do it.
    [tex]\lim_{x\rightarrow0} \frac{\frac{1}{x+2}-\frac{1}{2}}{x}[/tex]


    2. Relevant equations

    I am not sure really.

    3. The attempt at a solution
    One thing I have tried is to multiply by [tex]\frac {x}{x}[/tex]. Which gave me:
    [tex]\lim_{x\rightarrow0} \frac{\frac{1}{x+2}-\frac{1}{2}}{x} \times \frac {x}{x}[/tex]

    [tex]=\frac{\frac{1\times x}{x+2}-\frac{1\times x}{2}}{x\times x}[/tex]

    [tex]= \frac{\frac{x}{x+2}-\frac{x}{2}}{x^{2}}[/tex]

    [tex]=\frac{x}{x+2}\rightarrow \frac{x}{x}+\frac{x}{2} \rightarrow 1+\frac{x}{2}[/tex]

    [tex]=\frac{1+\frac{x}{2}-\frac{x}{2}}{x^{2}}[/tex]

    [tex]=\frac{1}{x^{2}}[/tex]

    1) I am not sure of my algebra during this and
    2) I don't know where to go from here should my algebra check out.

    I have already tried to multiply by [tex]\frac{\sqrt{x}}{\sqrt{x}}[/tex] but it just seems to give me [tex]\frac{\sqrt{x}}{x}[/tex] which doesn't help. I am stuck help me please?
     
  2. jcsd
  3. Aug 31, 2009 #2

    Mark44

    Staff: Mentor

    Combine the two fractions in the numerator and then simplify the whole thing.
     
  4. Aug 31, 2009 #3
    Thank you!!!!!!! :):):):):):):):)
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: General Limits Problem
  1. Limit problem (Replies: 3)

  2. Limit Problems (Replies: 8)

  3. Limit problem (Replies: 4)

  4. Limit problem (Replies: 14)

  5. Limits problem (Replies: 4)

Loading...