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Xcos xxlimx→01-cos xx2 is equal to ____________. -

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Question

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

Options

  • `1/2`

  • -1

  • 0

  • 1

MCQ
Fill in the Blanks

Solution

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

Explanation:

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

`lim_(x -> 0) "sin x"/(2"x") = 1/2` (Using L’hospital Rule ).

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