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Limits — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsLimits1 Mark
MCQ
$\lim _{x \rightarrow 2}\left(\frac{x^4-16}{x^2-5 x+6}\right)=$
  • A
    $23$
  • B
    $32$
  • ✓
    $-32$
  • D
    $-16$
✓

Answer

Correct option: C.
$-32$
(C) -32
Hint:
$\lim _{x \rightarrow 2} \frac{x^4-16}{x^2-5 x+6}$
$=\lim _{x \rightarrow 2} \frac{\left(x^2+4\right)(x+2)}{x-3}$
$=\frac{\left[(2)^2+4\right](2+2)}{2-3}=-32$

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