lim x → 0 ∫ 0 x 2 sin t d t x 3 is equal to:

limx→0∫0x2sintdtx3 is equal to:
  1. 0
  2. 23
  3. 32
  4. 115

Solution

limx→0+∫0x2sintdtx3=limx→0+sinx2x3x2

=limx→0+sinxx×23=23

Asked in: JEE Main 2021 (24 Feb Shift 1)

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