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JEE Main20205 Sep 2020Evening ShiftMathematicsLimitsActual

lim x → 0 x e 1 + x 2 + x 4 - 1 / x - 1 1 + x 2 + x 4 - 1

Options

  1. Ais equal to e
  2. Bis equal to 1
  3. Cis equal to 0
  4. Ddoes not exist

Correct answer

B. is equal to 1

Step-by-step solution

lim x → 0 e 1 + x 2 + x 4 − 1 x - 1 1 + x 2 + x 4 − 1 x p u t 1 + x 2 + x 4 − 1 x = t clearly x → 0 ⇒ t → 0 ∴ given limit = lim t → 0 e t − 1 t = 1

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