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Manipal MET2018MathematicsContinuity and Differentiability

If f(x)= array cc x+1, & x 1 3-a x^2, & x 1 array . is continuous at x=1 , then the value of a is

Options

  1. A1
  2. B2
  3. C-3
  4. D-2

Correct answer

A. 1

Step-by-step solution

Since, f(x) is continuous at x=1 . array ll & _ h 0⁺ f(1+h)=f(1) & _ h 0 3-a(1+h)^2=2 array aligned & 3-a(1+0)^2 & =2 & a & =1 aligned

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