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Limits and Derivatives — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsLimits and Derivatives1 Mark
MCQ
If $\lim\limits_{\text{x}\to \text{a}}\frac{\text{x}^5-\text{a}^5}{\text{x - a}}=80$ then the value of $aa$ is:
  • A
    $4$
  • ✓
    $2$
  • C
    $3$
  • D
    $5$
✓

Answer

Correct option: B.
$2$
Given,$ \lim\limits_{\text{x}\to \text{a}}\frac{\text{x}^5-\text{a}^5}{\text{x - a}}=80$
or, $ 5\text{a}^4=80 [$Using direct formula$]$ or, $\text{a}^4=16$ or, $\text{a}=2.$

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