Examine the following functions for continuity:
(b) `f(x) = 1/(x - 1), x != 5`

Examine the following functions for continuity: (a) f(x) = x - 5

Examine the following functions for continuity: (d) f(x) = |x - 5| .

Examine the following functions for continuity: (c) f(x) = (x^(2) - 25)/(x +5), x != -5

Discuss the continuity of the following functions : f(x)= sin x - cos x

Check the continuity of the function f given by f(x) = 2x + 3 at x = 1 .

Discuss the continuity of the following functions : f(x) = sin x. cos x .

Define a continuity of a function at a point. Find all the points of discontinuity of f defined by f(x) = |x| - |x - 1| .

Discuss the continuity of the function f defined by f(x)= (1)/(x^2), x ne 0 .