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Manipal MET2017MathematicsContinuity and Differentiability

If f(x)= 3 x+ ^2 x x is continuous at x=0 , then f(0) is equal to

Options

  1. A3
  2. B2
  3. C4
  4. D0

Correct answer

A. 3

Step-by-step solution

Now, aligned _ x 0 f(x) & = _ x 0 3 x+ ^2 x x & = _ x 0 3+2 x ^2 x 1 & =3 aligned Since, f(x) is continuous at x=0 f(0)=3

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