Discuss the continuity of the following functions at the points given against them. If the function is discontinuous, determine whether the discontinuity is removable. In that case, redefine the function, so that it becomes continuous.
\(f(x) = \frac{(\sqrt{x + 3}-2)}{(x^3 - 1)},\) for x ≠ 1
f(x) = ((√x + 3) - 2)/(x3 - 1), for x ≠ 1
= 5, for x = 1; at x = 1