Explain what it means to say that $$\lim_{x\to 1^{-}} f(x) = 3 \ \ \ \ \ \ \text{ and } \ \ \ \ \ \ \lim_{x\to 1^{+}} f(x) = 7$$ In this situation is it possible that $\lim_{x\to 1}f(x)$ exists? Explain.

Exercise 2.2.2

Explain what it means to say that

\lim_{x \to 1^{−}} f (x) = 3 and \lim_{x \to 1^{+}} f (x) = 7

In this situation is it possible that $\lim_{x \to 1} f (x)$ exists? Explain.