2 Hints

As per usual, here’s where you’ll find the problem sheet hints!

1. This one is mostly similar to the examples seen in lectures and the one we did in the tutorial. You might have to make a choice of delta near the start of your argument though, just so that \(\lvert f(x) - L \rvert\) is well defined.
2. Choose a specific \(\epsilon\) dependent on \(L\) in the definition of limit. Then you should be able to rearrange and find the required \(c_1\), \(c_2\) and \(\delta\).
3. Again, this is fairly similar to the ones we did in tutorials. Some Semester 1 material may also help here!