- #1
Saladsamurai
- 3,020
- 7
Homework Statement
Hoowwwwdddyyyyyy!
I am reviewing some Calculus and was going over the Sandwich Theorem. It's delicious.
An example that they give is: From the definition of cos[itex]\theta[/itex], [itex]0\le 1-\cos\theta\le |\theta|[/itex] for all theta. and we have
[tex]\lim_{\theta\rightarrow 0}(1-\cos\theta)=0[/tex] or
[tex]\lim_{\theta\rightarrow 0}\cos\theta = 1[/tex]
I am having trouble seeing the transition in the last two steps. How does
[tex]\lim_{\theta\rightarrow 0}(1-\cos\theta)=0 \Rightarrow
\lim_{\theta\rightarrow 0}\cos\theta = 1[/tex] ?
Thanks!