Question

If $f(x) = \begin{cases} \frac{x^2 + 3x - 10}{x^2 + 2x -15} , & \text{when} x x \neq - 5 \\ a , & \text{when} x = - 5 \end{cases} $ is continuous at $x = -5$, then the value of ‘$a$’ will be

• A. 3/2
• B. 7/8
• C. 8/7
• D. 2/3

Answer 1

Answer: (B)

$\displaystyle\lim _{x \rightarrow-5} f(x)=\frac{(x-2)(x+5)}{(x+5)(x-3)}$
$=\frac{-7}{-8}=\frac{7}{8}$