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Limits — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsLimits2 Marks
MCQ
$\lim _{x \rightarrow 1} \frac{x^{100}-1}{x^{50}-1}=$
  • A
    1
  • B
    -2
  • C
    -1
  • ✓
    2
✓

Answer

Correct option: D.
2
(D)
$\lim _{x \rightarrow a} \frac{x^m-a^m}{x^n-a^n}=\frac{m}{n} a^{m-n}$
$\lim _{x \rightarrow 1} \frac{x^{100}-1}{x^{50}-1}=\frac{100}{50}(1)^{100-50}=2$

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