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Limits Continuity and Differentiability question

2003 · Shift 0 · Q72
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  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Limits Continuity and Differentiability
  5. /2003 · Shift 0 · Q72

Limits Continuity and Differentiability question

2003 · Shift 0 · Q72

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1
lim⁡x→π2[1−tan⁡(x2)][1−sin⁡x][1+tan⁡(x2)][π−2x]3\mathop {\lim }\limits_{x \to {\pi \over 2}} {{\left[ {1 - \tan \left( {{x \over 2}} \right)} \right]\left[ {1 - \sin x} \right]} \over {\left[ {1 + \tan \left( {{x \over 2}} \right)} \right]{{\left[ {\pi - 2x} \right]}^3}}}x→2π​lim​[1+tan(2x​)][π−2x]3[1−tan(2x​)][1−sinx]​ is
  1. A
    ∞\infty∞
  2. B
    18{1 \over 8}81​
  3. C
    0
  4. D
    132{1 \over 32}321​
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