Question

Examine the continuity f(x)={|sinx|/x,x=0

Answer 1

f is continuous at x = 0 if k = 1. Example 2 Discuss the continuity of the function f(x) = sin x . cos x. Solution Since sin x and cos x are continuous functions....
HOPE I THINK THIS MAY BE HELPFUL !!!!!!!

Answer 2

at x=0
LHL=_value check
lim f(x)=l sinx/xl
h-0
taking limit
sin(0_h)/(0_h)
sin(0_0)/(0_0)
sin
RHL=+ value check
lim f(x)=l sinx/xl
x-0
lim l sinx/xl
h-0
taking limit
l sin(0+h)/(0+h)l
sin(0+0)/(0+0)
sin
RHL=LHL function is continuous at x=0