#### Question

Examine the continuity of the function

f(x) =sin x- cos x, for x ≠ 0

=- 1 ,forx=0

at the poinl x = 0

#### Solution

`f(0)=-1`

`and lim_(x->0)f(x)`

`=lim_(x->0)(sinx-cosx)=-1`

`therefore f(0)=lim_(x->0)f(x)`

Hence f (x) is continuous at x = 0

Is there an error in this question or solution?

#### APPEARS IN

Solution Examine the continuity of the function f(x) =sin x- cos x, for x ≠ 0 ,=- 1 ,for x=0 at the poinl x = 0 Concept: Introduction of Continuity.