Problem

(c) MUC
(d) F $\cap$ B
3. The amount of revenue generated (in billions of naira) over a 5 -year period from PHCN can be approximated by the function $F(x)=-4 x^{2}+20 n+150$ where $X=0$ correspends to the year 2014. Find $\lim \frac{f(x)}{x-5}$

Answer

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Answer

As x approaches 5, the denominator approaches 0, and the limit becomes undefined. Therefore, the limit of the function \(\frac{F(x)}{x-5}\) as x approaches 5 is \(\boxed{\infty}\)

Steps

Step 1 :Given the function F(x) = -4x^2 + 20x + 150, we need to find the limit of the function \(\frac{F(x)}{x-5}\) as x approaches 5.

Step 2 :Using the given function, we substitute it into the limit expression: \(\lim_{x \to 5} \frac{-4x^2 + 20x + 150}{x-5}\)

Step 3 :As x approaches 5, the denominator approaches 0, and the limit becomes undefined. Therefore, the limit of the function \(\frac{F(x)}{x-5}\) as x approaches 5 is \(\boxed{\infty}\)

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