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Limits Continuity and Differentiability question

2020 · Shift 2 · Q24
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  2. /JEE Advanced
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  4. /Limits Continuity and Differentiability
  5. /2020 · Shift 2 · Q24

Limits Continuity and Differentiability question

2020 · Shift 2 · Q24

JEE AdvancedMathematicsLimits Continuity and DifferentiabilityNumerical+3 / −1
The value of the limit lim⁡x→π242(sin⁡3x+sin⁡x)(2sin⁡2xsin⁡3x2+cos⁡5x2)−(2+2cos⁡2x+cos⁡3x2)\mathop {\lim }\limits_{x \to {\pi \over 2}} {{4\sqrt 2 (\sin 3x + \sin x)} \over {\left( {2\sin 2x\sin {{3x} \over 2} + \cos {{5x} \over 2}} \right) - \left( {\sqrt 2 + \sqrt 2 \cos 2x + \cos {{3x} \over 2}} \right)}}x→2π​lim​(2sin2xsin23x​+cos25x​)−(2​+2​cos2x+cos23x​)42​(sin3x+sinx)​ is ...........
Numerical answer
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