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BITSAT2020MathematicsContinuity and DifferentiabilityActual

Let f be the function defined by f(x)= array ll x²-1 x²-2|x-1|-1 , & x 1 1 / 2, & x=1 array .

Options

  1. AThe function is continuous for all values of x
  2. BThe function is continuous only for x>1
  3. CThe function is continuous at x =1
  4. DThe function is not continuous at x=1

Correct answer

D. The function is not continuous at x=1

Step-by-step solution

For x 1, f(x)= x²-1 x²-2 x+1 = x+1 x-1 _ x 1⁺ f(x)= The function is not continuous at x =1 .

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