MCQ
$\mathop {\lim }\limits_{x \to 1} \frac{{1 - {x^{ - 1/3}}}}{{1 - {x^{ - 2/3}}}} = $
- A$\frac{1}{3}$
- ✓$\frac{1}{2}$
- C$\frac{2}{3}$
- D$ - \frac{2}{3}$
✓
Answer
Correct option: B.
$\frac{1}{2}$
b
(b) $\mathop {\lim }\limits_{x \to 1} \,\frac{{1 - {x^{ - 1/3}}}}{{(1 - {x^{ - 1/3}})\,\,(1 + {x^{ - 1/3}})}} = \frac{1}{2}.$
(b) $\mathop {\lim }\limits_{x \to 1} \,\frac{{1 - {x^{ - 1/3}}}}{{(1 - {x^{ - 1/3}})\,\,(1 + {x^{ - 1/3}})}} = \frac{1}{2}.$
Aliter : Apply $L-$ Hospital’s rule.
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