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Limits Continuity and Differentiability question

2016 · Shift 0 · Q21
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  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Limits Continuity and Differentiability
  5. /2016 · Shift 0 · Q21

Limits Continuity and Differentiability question

2016 · Shift 0 · Q21

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1
Let p=lim⁡x→0+(1+tan⁡2x)12xp = \mathop {\lim }\limits_{x \to {0^ + }} {\left( {1 + {{\tan }^2}\sqrt x } \right)^{{1 \over {2x}}}}p=x→0+lim​(1+tan2x​)2x1​ then logplogplogp is equal to :
  1. A
    12{1 \over 2}21​
  2. B
    14{1 \over 4}41​
  3. C
    222
  4. D
    111
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