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grantmasini Group TitleBest ResponseYou've already chosen the best response.0
\[\cos x \lim_{h \rightarrow 0}\frac{ \sin h }{ h }\]
 one year ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.0
have you learned lhospital rule ?
 one year ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.0
what are you doing in class?
 one year ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.0
squeeze theorem?
 one year ago

grantmasini Group TitleBest ResponseYou've already chosen the best response.0
this is one of the last steps in a limit problem from the first unit (limits). it's supposed to evaluate to cosx*1=cosx. I don't understand how sinh/h comes out to be 1?
 one year ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.0
well, there is a thing called La'Hospital rule, that says when you run a limit and get 0/0 you can take the derivative of the top and the derivative of the bottom and then run the limit again so your limit lim of sin(h)/h = lim of cos(h)/1 = lim cos(h) and at 0 that is 1
 one year ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.0
l'hopital's rule
 one year ago

grantmasini Group TitleBest ResponseYou've already chosen the best response.0
lol, we are on the first unit. haven't learned derivates, or any of the theorems or rules.
 one year ago

grantmasini Group TitleBest ResponseYou've already chosen the best response.0
can someone just explain how the limit of sinh/h is 1?
 one year ago

grantmasini Group TitleBest ResponseYou've already chosen the best response.0
derivatives*
 one year ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.0
do you know the squeeze theorem?
 one year ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.0
There is a geometric proof http://www.youtube.com/watch?v=Ve99biD1KtA I don't know of an elementary way of showing this limit without geometry and quite a bit of explaining...watch that video.
 one year ago

grantmasini Group TitleBest ResponseYou've already chosen the best response.0
all right, thanks
 one year ago

PROSS Group TitleBest ResponseYou've already chosen the best response.0
It appears that you are beginning the study of Calculus with the topic of limits. We often will use a table of values as they approach the limit from the left and from the right. This is the first method you may want to use. A second method that is used is to look at the graph of the function. You can easily see that the limit as h approaches 0 from the left and right is 1. I hope this helps.
 one year ago
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