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Limits Continuity and Differentiability question

2023 · 8 Apr · Shift 1 · Q25
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  5. /2023 · 8 Apr · Shift 1 · Q25

Limits Continuity and Differentiability question

2023 · 8 Apr · Shift 1 · Q25

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1
lim⁡x→0(((1−cos⁡2(3x)cos⁡3(4x))(sin⁡3(4x)(log⁡e(2x+1))5))\lim_{x \rightarrow 0}\left(\left(\frac{\left(1-\cos ^{2}(3 x)\right.}{\cos ^{3}(4 x)}\right)\left(\frac{\sin ^{3}(4 x)}{\left(\log _{e}(2 x+1)\right)^{5}}\right)\right)x→0lim​((cos3(4x)(1−cos2(3x)​)((loge​(2x+1))5sin3(4x)​)) is equal to ‾\underline{\hspace{2cm}}​.
  1. A
    15
  2. B
    18
  3. C
    9
  4. D
    24
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