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MHT CET202521 Apr 2025Morning ShiftMathematicsLimitsActual

_ x e ^ x^4 -1 e ^ x^4 +1 =

Options

  1. A1
  2. Be
  3. C1 e
  4. Dnot defined

Correct answer

A. 1

Step-by-step solution

Given the limit _ x e^ x^4 - 1 e^ x^4 + 1 , observe that as x , x^4 and consequently e^ x^4 . Dividing numerator and denominator by e^ x^4 yields 1 - e^ -x^4 1 + e^ -x^4 . Since -x^4 - as x , we have e^ -x^4 0 . Substituting gives 1 - 0 1 + 0 = 1 .

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