Examine the continuity of the function `f(x)` at `x=0` for `f(x)=x/(2|x|)` where `x!=0`

Examine the continuity of the function f(x) at x = 0. f(x)={{:((tan2x)/(3x)"when "xne0),(3/2" when "x = 0):}

Examine the continuity of the function f(x) at x = 0. f(x)={{:(sinx/x" when "xne0),(2" when "x = 0):}

Check the continuity of the function f(x)=2x-1, if x =0

Check the continuity of the function f(x) at x=0 if f(x)={[x^(5), if x!=01, if x=0]}

Examine the continuity of f(x) at x=0 if f(x)= (sin 2x)/(2x), x ne 0

Discuss the continuity of the function f given f(x)=|x| at x=0

Check the continuity of the function f given by f(x) = |x|at x = 0

Examine the continuity of the function f(x)={3x-2,quad x 0 at x=0. Also sketch the graph of this function.

3.) Examine the continuity and differentiability of the function f (x) in (0, 3) where f(x)= (|2x-3|)[x]; 0<=x<=2 x^2/2; 2

Discuss the continuity of the function f(x) given by f(x)={2-x,x 0 at x=0