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NDA2024MathematicsLimitsActual

Which one of the following is correct regarding _ x 3 |x-3| x-3 ?

Options

  1. ALimits exists and is equal to 1
  2. BLimits exists and is equal to 0
  3. CLimits exists and is equal to -1
  4. DLimit does not exist

Correct answer

D. Limit does not exist

Step-by-step solution

Given, _ x 3 |x-3| x-3 Finding LRL and RHL at x=3 LHL = lt _ x 3⁻ | x -3| x -3 = -( x -3) x -3 =-1 LHL = lt _ x 3⁺ | x -3| x -3 = ( x -3) x -3 =+1 LHL RHL, limit does not exist.

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