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Xcosxxlimx→012(1-cos 2x)x is equal to. -

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Question

`lim_("x"-> 0) sqrt(1/2 (1 - "cos"  2"x"))/"x"` is equal to

Options

  • 1

  • -1

  • 0

  • none of these

MCQ
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Solution

none of these

Explanation:

as `lim_("x"-> 0) sqrt(1/2 (1 - "cos"  2"x"))/"x"`

`lim_("x"-> 0) abs ("sin x")/"x"`

and LHL `ne` RHL at x = 0

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