If f(x) is uniformly continuous on [1,inf) then there exist M>0 with |f(x)|<Mx
Show that sin(x) = O(x) for all x in R.
From the defn, we must show
s.t.
We know that |sin(x)| <= 1.
But now I'm stuck.
Similarly, how would I go about showing:
s.t.
What's the general method for these things? (I know is always positive, so the mod signs are redundant)
(The above is derived from , m positive integer.)