Evaluate: lim x arrow 2 (f(x)-f(2)/x-2), where f(x)=x2-4 x

Question

Evaluate: lim x arrow 2 (f(x)-f(2)/x-2), where f(x)=x2-4 x (A) -1 (B) 2 (C) 0 (D) 4

Tardigrade Admin · Accepted Answer

Substitute then factorize numerator f(x), then cancel the common factor in both the numerator and the denominator, then substitute x=2.

Q. Evaluate: $lim_{x \to 2} \frac{f ( x ) - f ( 2 )}{x - 2}$ , where $f (x) = x^{2} - 4 x$