Question

Find the rate of convergence of the following function as h -> 0

Show your steps.

Answer 1

\[\lim_{h \rightarrow 0} [\exp(h^{2}) -h \sin (h)] =1\]

Answer 2

Could you clarify what you mean by rate of convergence? What sequence are we talking about? (I'm not very experienced with this so my questions may be unjustified)

Answer 3

I believe rate of convergence refers to how fast the function converges. So, I'm trying to find the big O notation function of the rate..

Answer 4

are you sure it's not little o? it looks more like your description if looking at page 1 of http://www.math.uiuc.edu/~hildebr/595ama/ama-ch2.pdf.

Answer 5

because of the taking of limits