- #1
stunner5000pt
- 1,461
- 2
Find the rate of convergence of
[tex] \lim_{h \rightarrow 0}(\frac{\sin(h)}{h}) = 1 [/tex]
well I am not really sure on what to do
[tex] \sin(h) \leq 1 [/tex]
[tex] \frac{\sin(h)}{h} \leq \frac{1}{h} [/tex]
so then sine converges with a rate of O(1/h) ?
but the answer in the book is O(h^2) how so?
please help! Thank you
[tex] \lim_{h \rightarrow 0}(\frac{\sin(h)}{h}) = 1 [/tex]
well I am not really sure on what to do
[tex] \sin(h) \leq 1 [/tex]
[tex] \frac{\sin(h)}{h} \leq \frac{1}{h} [/tex]
so then sine converges with a rate of O(1/h) ?
but the answer in the book is O(h^2) how so?
please help! Thank you