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Manipal MET2010MathematicsLimits

_ x 0 1- 2 x 2 x is

Options

  1. A1
  2. B-1
  3. Czero
  4. Ddoes not exist

Correct answer

D. does not exist

Step-by-step solution

gathered _ x 0 1- 2 x 2 x = _ x 0 1- (1-2 ^2 x ) 2 x = _ x 0 2 ^2 x 2 x = _ x 0 | x| x gathered Let f(x)= | x| x Then, f(0+0)= _ h 0 | (0+h)| h = _ h 0 h h =1 and f(0-0)= _ h 0 | (0-h)| -h = _ h 0 h -h =-1 f(0+0) f(0-0) The limit does not exist.

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