Which one of the following functions is continuous at x = 3?

• A. \(f\left( x \right)\left\{ {\begin{array}{*{20}{c}} {2,\;\;\;\;if\;\;\;x = 3}\\ {x - 1,\;\;\;\;if\;\;\;x > 3}\\ {\frac{{x + 3}}{3},\;\;\;\;if\;\;\;\;x < 3} \end{array}} \right.\)
• B. \(f\left( x \right) = \left\{ {\begin{array}{*{20}{c}} {4,\;\;\;\;if\;\;\;x = 3}\\ {8 - x\;\;\;if\;\;\;x \ne 3} \end{array}} \right.\)
• C. \(f\left( x \right) = \left\{ {\begin{array}{*{20}{c}} {x + 3,\;\;\;\;if\;\;\;x \le 3}\\ {x - 4\;\;\;\;if\;\;\;x > 3} \end{array}} \right.\)
• D. \(f\left( x \right) = \frac{1}{{{x^3} - 27}}\:if\:x\ne3\)