Question

How do you use a graphing calculator to find the limit of `xcosx` as x approaches 0?

Answer 1

Just use your calculator to plot the graph and see what happens at `x=0`

This i a screen shot from my TI-nspire CX

It looks like the graph passes through `(0.0)` which would suggest that:

`lim_(x rarr 0) xcosx=0`

And it can very easily be shown that is the correct result.