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NDA2023MathematicsLimitsActual

What is _ x 5 5-x |x-5| equal to?

Options

  1. A-1
  2. B0
  3. C1
  4. DLimit does not exist

Correct answer

D. Limit does not exist

Step-by-step solution

_ x 5 5-x |x-5| LHL: _ x 5⁻ 5-x -(x-5) = _ x 5⁻ 5-x 5-x =1 RHL: _ x 5⁺ 5-x (x-5) = _ x 5⁺ (-1)=-1 LHL RHL Limit does not exist.

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