Question

Find its:-
$\underset{x\to 2}{lim}\frac{3x^2-x-10}{x^2-4}$

• A. $-\frac{11}{4}$
• B. $\frac{11}{5}$
• C. $\frac{1}{4}$
• D. $\frac{11}{4}$

Answer 1

The correct option is D $\frac{11}{4}$

Consider the following question.

${lim}_{x\to 2}\frac{3x^2-x-10}{x^2-4}$

Using a L-Hospital Rule,

${lim}_{x\to 2}\frac{6x-1}{2x}$

${lim}_{x\to 2}\frac{6\times 2-1}{2\times 2}$

$=\frac{11}{4}$

Hence, this is the required answer.