Question
$11-32$ Evaluate the limit, if it exists.$$\lim _{h \rightarrow 0} \frac{(-5+h)^{2}-25}{h}$$
Step 1
Here, $a = -5$ and $b = h$. So, we get $$(-5+h)^2 = (-5)^2 + 2(-5)h + h^2 = 25 - 10h + h^2.$$ Subtracting 25 from this, we get $-10h + h^2 - 25$. Show more…
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