Chapter 13 - A Preview of Calculus: The Limit, Derivative, and Integral of a Function - Section 13.3 One-sided Limits; Continuous Functions - 13.3 Assess Your Understanding - Page 909: 39

$4$

We find the right-hand limit as follows: $\lim\limits_{x \to 2^{+}} f(x)=\lim\limits_{x \to 2^{+}} \dfrac{x^2-4}{x-2} \\=\lim\limits_{x \to 2^{+}} \dfrac{(x-2)(x+2)}{x-2}) \\=\lim\limits_{x \to 2^{+}}(x+2) \\=2+2 \\=4$