
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.
Answer:
Yes, the number of days are proportional to the number of liters of water the elephant drinks.
Step-by-step explanation:
1 day: 225L 2 days: 450L 3 days: 675L 4 days: 900L
There is a proportional pattern to it.
Answer:
y-3/15
Step-by-step explanation:
Finding three volume is super easy the equation for volume is the area of the base times the height so u will find the area of all the small part and then add those and then multiply by the height