Question

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

पर्याय

• None of these

• 0

• 1

• `1/2`

Answer 1

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

Explanation:

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

`=  lim_("x" -> 0) ((1 - "cos x")(1 + "cos x"))/("x" (1 + "cos x"))`

`= lim_("x" -> 0) "sin x"/"x". "sin x"/((1 + "cos x")) = 0`