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Homework Help: Question on lim x→1 (x − 5) / (x^2 + 2x − 4) ?

  1. Jun 29, 2016 #1
    1. The problem statement, all variables and given/known data

    Determine whether the statement is true or false. lim x→1 (x − 5) / (x^2 + 2x − 4) = lim x→1 (x − 5) / lim x→1 (x^2 + 2x − 4)?

    2. Relevant equations

    3. The attempt at a solution
    I know that the right side of this equation and the left side have to equal each other in order for this to be true. On the right hand side the answer is 4. I don't know how to solve the left hand side because (x^2 + 2x − 4) cannot be factored.
  2. jcsd
  3. Jun 30, 2016 #2


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    That's irrelevant. Can the limit of the LHS expression be evaluated without factoring the quadratic?
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