Evaluate the left-and right-hand limits of the function `f(x)={(|x-4|)/(x-4),x!=4 0,x=4a tx=4`

Evaluate the left-and right-hand limits of the function f(x)={(|x-4|)/(x-4),x!=4, 0,x=4 ,at x=4

The right hand limit of the funtion f(x) = 4

The left hand limit of the function f(x)=4

Evaluate right-handed limit of the function: f(x)={((|x-3|)/(x-3),x!=3),(0,x=3):} at x= 3.

Evaluate left-handed limit of the function: f(x)={((|x-3|)/(x-3),x!=3),(0,x=3):} at x= 3.

Find the domain of the function f(x)=(x^2-4)/(x-4)

Evaluate the right hand limit and left hand limit of the function f(x)={(|x-4|/(x-4), x ne 4),(0, x=4):}

Find the range of the function: f(x) = (|x-4|)/(x-4)

Find the domain of the function f(x)=abs(x-4)/x-4

Evaluate the left-hand and right-hand limits of the following function at x = 1 : f(x)={{:(5x-4",", "if "0 lt x le 1), (4x^(2)-3x",", "if "1 lt x lt 2.):} Does lim_(x to 1)f(x) exist ?