# Infinite limits at infinity

• Infinite limits at infinity
• Let $$f(x)=e^x$$.
• Then we see that we can make $$f(x)$$ arbitrarily large by taking $$x$$ large enough. Therefore, we write $$\lim_{x\to\infty}e^x=\infty$$
• Note that on the other hand, we have $$\lim_{x\to-\infty}f(x)=0$$.
• Exercises. 2.6: 30, 31, 32, 39, 36, 42, 48