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NEST2019MathematicsContinuity and Differentiability

Let g: R R be the function given by g(x)= cases |x|^x & if x 0 1 & if x=0 cases Then

Options

  1. Ag is differentiable at x=0
  2. Bg is a strictly increasing function on R
  3. Cg is continuous at x=0
  4. Dg(x)=0 for some x R

Correct answer

C. g is continuous at x=0

Step-by-step solution

No solution available.

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