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

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

Limits

Solution:

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