If `f(x) ={-x,x > 0 and x, x lt 0 =0, x=0` then test the continuity of `f(x)` at `x = 0`.

If f(x)=-x, when x 0=0, when x>0 then test the continuity of f(x) at x=0

Let f(x)={(absx/x,if xne0),(0,if x=0):} Examine the continuity of f(x) at x=0.

{{:((x)/(|x|)","if x lt 0 ),(-1"," if x ge 0 ):} Check continuity of f(x) at x = 0

Let f(x) = xe^-(1/|x|+1/x); x != 0, f(0) = 0 , test the continuity & differentiability at x = 0

Let f(x) = (xe)^(1/|x|+1/x); x != 0, f(0) = 0 , test the continuity & differentiability at x = 0

If f(x) ={ (x.ln(cosx))/ln (1+x^2) x!=0 , 0, x=0 then a) f is continuous at x =0 b) f is continuous at x =0 but not differentiable at x=0 c) f is differemtiable at x =0 d) f is not continuous at x =0

If {(f(x) = 1-x), (for 0 lt x le 1),(= k , for x = 0)} is continuous at x = 0, then k =

Let f(x) = (x+|x|)/x for x ne 0 and let f (0) = 0, Is f continuous at 0?