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MHT CET20227 Aug 2022Evening ShiftMathematicsContinuity and DifferentiabilityActual

If f(x)= e^ x^2 - x x^2 if x 0 is continuous at x=0 , then f(0)= .

Options

  1. A1 2
  2. B3 2
  3. C2 3
  4. D-3 2

Correct answer

B. 3 2

Step-by-step solution

For continuity at x=0, _ x 0 f(x)=f(0) aligned & f(0)= _ x 0 e^ x^2 - x x^2 = _ x 0 & (1+x^2+ x^4 2 ! + )- (1- x^2 2 ! + . . . ) x^2 & = _ x 0 3 2 x^2+ . . x^2 = 3 2 aligned

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