Answer:
0.1
Step-by-step explanation:
used a calculator, that is what i got
Answer:
=======================
Any rational number can be written in the form of p/q as per definition of a rational number.
In case with zero, it can be:
- p = 0,
- q = any number other than zero.
So, we'll have:
There are 2 ways that spring to mind.
One is to use the definition of the derivative at a point:

In this case,
and
. Then

- - -
If you don't know about derivative yet (I would think you do, considering this is for a midterm in AP Calc, but I digress), the other way is to rely on algebraic manipulation. Multiply the numerator and denominator by the conjugate of the numerator to get

This is continuous at
, so the limit is the value of the expression at
:

First you would convert it to a fraction. 9/100
Once you do that you divide the numerator, which is 9 by the denominator, which is 100.
Then we get our answer, 0.09