§ 1-4 Limits and Continuity - SlideServe

Theorems of Continuity | Solved Examples on Continuity Theorems

Determine the points of continuity of the following functions and state which theorems are used in each case.(a) f(x):=(x^2 2 x 1)/(x^2 1) (x ∈ℝ)(b) g(x):=√(x √(x)) (x ≥ 0)(c) h(x):=(√(1 |sin x|))/(x) (x ≠ 0)(d) k(x):=cos√(1 x^2) (x ∈ℝ)