Evaluate the limit, if it exists.
lim (h - > 0) ((-7 + h)^2 - 49) / h

Expand everything in the limit:

We have approaching 0, and in particular , so we can cancel a factor in the numerator and denominator:

Alternatively, if you already know about derivatives, consider the function , whose derivative is .

Using the limit definition, we have

which is exactly the original limit with . The derivative is , so the value of the limit is, again, -14.

step-by-step explanation:

it's is b