Answer
$6$
Work Step by Step
Recall that if $f$ is a polynomial, then $\lim_\limits{x\to a}f(x)=f(a)$. Thus, we can find the limit by plugging $a$ into the function and simplifying: $$\lim_\limits{x\to5}(x^2-3x-4)=5^2-3(5)-4=25-15-4=6$$
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