I've got a question touse the notion of continuity to show thathas at least one real root, that is, there is at least one value of x that solves this equation.

If I try to zero one side, I'm still not sure how to get the roots"

I think it involves the continuity definition which I am aware of below (trying to get the x goes to a below lim)

So I don't know how that will fit in with my problem above. How would I find the solution to it then?