(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find a value of k such that the limit exists

lim (x^{2}-kx+4)/(x-1)

x->1

3. The attempt at a solution

In the solution they set the top equal to zero finding that k is equal to 5. Why do you assume the numerator must equal zero if the denominator equals zero? Is this the only case in which the limit exists? If so why?

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# Homework Help: When does the limit exist?

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