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Math Help - Limit issue?

  1. #1
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    Limit issue?

    Limit as x approaches -1 [(1) / (x+1) - (3) / (X^2+5x+4)]
    I have since learned that the answer is -1/3 but have no idea how, any one got any suggestions?
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Re: Limit issue?

    Quote Originally Posted by zocheyado View Post
    Limit as x approaches -1 [(1) / (x+1) - (3) / (X^2+5x+4)]
    \frac{1}{x+1}-\frac{3}{x^2+5x+4}=\frac{x^2+2x+1}{(x+1)(x^2+5x+4)  }=\frac{(x+1)^2}{(x+1)^2(x+4)}=\ldots
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  3. #3
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    Re: Limit issue?

    SO how do you go from step 1 to step b? that is my issue.
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  4. #4
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    Re: Limit issue?

    Quote Originally Posted by zocheyado View Post
    SO how do you go from step 1 to step b? that is my issue.
    If the correct reading is \frac{1}{x+1}-\frac{3}{x^2+5x+4}
    the factor and combine \frac{1}{(x+1)}-\frac{3}{(x+1)(x+4)}
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