- 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