Proving a continuous function isn't necessarily differentiable.
I have been advised by my lecturer to use $|x|$ as my function example to prove this. I have also read on a thread here that this function is continuous for all values but not differentiable at $0$ (so the limit does not exist here). According to my notes, this can be proven by computing the limits either side of $0$, and this is where I am struggling. How should I go about doing this? Any help would be greatly appreciated.