Let f(x) be a function such that f(2) = 18. Find the limit of (f(x) − 18 − (x−2)2)/(f(x) − 18 − 2(x−2)2) as x approaches 2.

To find the limit, we first evaluate the numerator and denominator at x=2. Let N(x) = f(x) − 18 − (x−2)² and D(x) = f(x) − 18 − 2(x−2)². Step 1: Evaluate N(2) and D(2). Given f(2)=18. N(2) = f(2) − 18 − (2−2)² = 18 − 18 − 0² = 0; D(2) = f(2) − 18 − 2(2-2)² = 18 -

Solved: Let f(x) be a function such that f(2) = 18. Find…

To find the limit, we first evaluate the numerator and denominator at $x=2$ .
Let $N(x) = f(x) - 18 - (x-2)^2$ and $D(x) = f(x) - 18 - 2(x-2)^2$ .

Step 1: Evaluate $N(2)$ and $D(2)$ .
Given $f(2)=18$ .

N(2) = f(2) - 18 - (2-2)^2 = 18 - 18 - 0^2 = 0

Let f(x) be a function such that f(2) = 18. Find the limit of (f(x) - 18 - (x-2)2)/(f(x) - 18 - 2(x-2)2) as x approaches 2.

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