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Limits Continuity and Differentiability question

2011 · Shift 0 · Q31
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  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Limits Continuity and Differentiability
  5. /2011 · Shift 0 · Q31

Limits Continuity and Differentiability question

2011 · Shift 0 · Q31

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1
lim⁡x→2(1−cos⁡{2(x−2)}x−2)\mathop {\lim }\limits_{x \to 2} \left( {{{\sqrt {1 - \cos \left\{ {2(x - 2)} \right\}} } \over {x - 2}}} \right)x→2lim​(x−21−cos{2(x−2)}​​)
  1. A
    Equals 2\sqrt 22​
  2. B
    Equals −2-\sqrt 2−2​
  3. C
    Equals 12{1 \over {\sqrt 2 }}2​1​
  4. D
    does not exist
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