
Carry out the binomial expansion in the numerator:

Then the 9⁴ terms cancel each other, so in the limit we have

Since <em>h</em> is approaching 0, that means <em>h</em> ≠ 0, so we can cancel the common factor of <em>h</em> in both numerator and denominator:

Then when <em>h</em> converges to 0, each remaining term containing <em>h</em> goes to 0, leaving you with

or choice C.
Alternatively, you can recognize the given limit as the derivative of <em>f(x)</em> at <em>x</em> = 9:

We have <em>f(x)</em> = <em>x</em> ⁴, so <em>f '(x)</em> = 4<em>x</em> ³, and evaluating this at <em>x</em> = 9 gives the same result, 2916.
Here's the solutions :
1. solve for a :
2. solve for y :
3. solve for y :
4. solve for k :
5. there's something wrong with this question.
6. solve for x :
i hope it helped...
Answer:
area = 1/2 b*h
Step-by-step explanation:
1/2 * 6 * 8 = 24 ft^2
Equation Answer is 1,000!
Answer:
3
Step-by-step explanation:
as a person who answers in the mathematics session
i will tell you that the answer is 3