Chapter 1.5, Problem 69E

Finding Functions Find functions f and g such that $\underset{x\to 0}{\lim }f(x)=\infty$ and $\underset{x\to 0}{\lim }g(x)=\infty$, but $\underset{x\to 0}{\lim }[f(x)-g(x)]\ne 0$