We have, f(x)=lim_x→ 3x^2 9x 3 f(x)=lim_x→ 3(x 3)(x+3)(x 3) f(x)=lim_x→ 3(x+3) f(x)=3+3=6 f(x)=6 Hence, this is answer. ...

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Right Hand Limit

limx→ 3x2-9x-...

Question

$lim x \to 3 \frac{x^{2} - 9}{x - 3}$

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Solution

We have,
$f (x) = lim x \to 3 \frac{x^{2} - 9}{x - 3}$
$f (x) = lim x \to 3 \frac{(x - 3) (x + 3)}{(x - 3)}$
$f (x) = lim x \to 3 (x + 3)$
$f (x) = 3 + 3 = 6$
$f (x) = 6$
Hence, this is answer.

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