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Limits Continuity and Differentiability question

2021 · 27 Jul · Shift 2 · Q31
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  5. /2021 · 27 Jul · Shift 2 · Q31

Limits Continuity and Differentiability question

2021 · 27 Jul · Shift 2 · Q31

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1
The value of lim⁡x→0(x1−sin⁡x8−1+sin⁡x8)\mathop {\lim }\limits_{x \to 0} \left( {{x \over {\sqrt[8]{1 - \sin x} - \sqrt[8]{1 + \sin x} }}} \right)x→0lim​(81−sinx​−81+sinx​x​) is equal to :
  1. A
    0
  2. B
    4
  3. C
    −-− 4
  4. D
    −-− 1
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