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 one year ago
Can you help me find this limit: http://screencast.com/t/6CD9ErAG3N9m
All I need is the first step, I am gonna climb from there easily. Sorry if it's a little unclear picture, it's from an old book
 one year ago
Can you help me find this limit: http://screencast.com/t/6CD9ErAG3N9m All I need is the first step, I am gonna climb from there easily. Sorry if it's a little unclear picture, it's from an old book

This Question is Closed

robz8
 one year ago
Best ResponseYou've already chosen the best response.0for reference, the answer is \[\sqrt3/2\] i do not remember the steps though, sorry

Christos
 one year ago
Best ResponseYou've already chosen the best response.0I know the answer too my friend, but I dont know how to find it, thanks though

robz8
 one year ago
Best ResponseYou've already chosen the best response.0sorry i could not help :/

Stewie_Griffin_
 one year ago
Best ResponseYou've already chosen the best response.0CANT EVEN SEE THE QUESTION

Christos
 one year ago
Best ResponseYou've already chosen the best response.0How Come?? The guy above you saw it , I posted a picture

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1I can't see it either. what is the limit going to? Can't make it out after the arrow

Christos
 one year ago
Best ResponseYou've already chosen the best response.0+ infinity ***** I am sorry

robz8
 one year ago
Best ResponseYou've already chosen the best response.0lim of x going to positive infinity of sin((pi*x)/(23x))

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1\[\lim_{x \rightarrow +\infty}\sin (\frac{ \pi x }{ 23x })\]

Stewie_Griffin_
 one year ago
Best ResponseYou've already chosen the best response.0can you actually take the pic clearly?

rajee_sam
 one year ago
Best ResponseYou've already chosen the best response.1\[\lim_{x \rightarrow +\infty} Sin (\frac{ \pi x }{ 23x })\]

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1Now Stewie can stop trolling, lol. xD

rajee_sam
 one year ago
Best ResponseYou've already chosen the best response.1I want to learn this too

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1You can divide by the highest power in the denominator which is x

Christos
 one year ago
Best ResponseYou've already chosen the best response.0But how does that lead you to the solution which is sqrt(3)/2

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1Can't you? \[\large \lim_{x \rightarrow +\infty}\sin(\frac{ \pi x/x }{ \frac{ 2 }{ x }\frac{ 3x }{ x } })\]

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1So what is \[\sin(\frac{ \pi }{ 3 })\]? Whcih quadrant is sine negative ?

rajee_sam
 one year ago
Best ResponseYou've already chosen the best response.1\[\lim_{x \rightarrow +\infty} \sin \frac{ x }{ x }(\frac{ \pi }{ \frac{ 2 }{ x }  3 })\]

Christos
 one year ago
Best ResponseYou've already chosen the best response.0@myko @timo86m @jim_thompson5910 @jhonyy9 @Hero @Euler271

Christos
 one year ago
Best ResponseYou've already chosen the best response.0The result is most likely engative yea

Christos
 one year ago
Best ResponseYou've already chosen the best response.0yes but HOW @rajee_sam

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1Sine is negative in quadrant 3 and 4, so if \[\sin \frac{ \pi }{ 3 } = \frac{ \sqrt{3} }{ 2 }\] then \[\sin \frac{ \pi }{ 3 }= \frac{ \sqrt{3} }{ 2 }\]

Christos
 one year ago
Best ResponseYou've already chosen the best response.0Am I eligible to differantiate this thing ? because if we differantiate we get sin(pi/3)

rajee_sam
 one year ago
Best ResponseYou've already chosen the best response.1dw:1369516434913:dw

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1You just need to find the positive radian measure, which is \[\frac{ \pi }{ }\] and then translate it accordingly to find which negative value is correlated with the positive radian measure

rajee_sam
 one year ago
Best ResponseYou've already chosen the best response.1\[\sin ( \theta ) =  \sin (\theta)\]

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1sorry,i meant pi/3 *

Christos
 one year ago
Best ResponseYou've already chosen the best response.0how did you get the x out @rajee_sam

rajee_sam
 one year ago
Best ResponseYou've already chosen the best response.1I am taking a GCF for both numerator and denominator so that I can cancel them out and do not have any x multiplied with anything

phi
 one year ago
Best ResponseYou've already chosen the best response.1\[\lim_{x \rightarrow +\infty}\sin \left(\frac{ \pi x }{ 23x }\right) = \sin\left( \lim_{x \rightarrow +\infty} \frac{ \pi x }{ 23x }\right)\] as noted above you can rewrite \[ \frac{ \pi x }{ 23x } = \frac{ \pi }{\frac{2}{x} 3} \]

Christos
 one year ago
Best ResponseYou've already chosen the best response.0Alright! Alright! I solved it this way! By during the time I was trying to solve this I figured out a second way! Tell me if this is correct: Just taking the derivative of both denominator and numerator and then we are done. Can I apply this to ANY limit? Because here it works!

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1that's what i did pi.... :(

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1if you're taking the derivative you'll have to use chain rule on the whole thing, sin (whatever's inside) and then * whatever is inside.

phi
 one year ago
Best ResponseYou've already chosen the best response.1yes, you can use L'Hopital's rule http://en.wikipedia.org/wiki/L'Hôpital's_rule if you get 0/0 or inf/inf

Christos
 one year ago
Best ResponseYou've already chosen the best response.0I am talking about this specific problem

phi
 one year ago
Best ResponseYou've already chosen the best response.1no, use chain rule. use \[ \lim_{x \rightarrow +\infty}\sin \left(\frac{ \pi x }{ 23x }\right) = \sin\left( \lim_{x \rightarrow +\infty} \frac{ \pi x }{ 23x }\right) \]

Christos
 one year ago
Best ResponseYou've already chosen the best response.0but even if I dont use the chain rule we end up to the same result

Christos
 one year ago
Best ResponseYou've already chosen the best response.0Ohh so this formula you showed to me just now is only when we have 0/0 or infinite/infinite ?

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1Oh I see, and you'd use LH rule to simplify it further and end up with the same result.

phi
 one year ago
Best ResponseYou've already chosen the best response.1using L'Hopital's rule needs 0/0 or inf/inf use it on \[ \lim_{x \rightarrow +\infty} \frac{ \pi x }{ 23x } \]

Christos
 one year ago
Best ResponseYou've already chosen the best response.0ok and I get this http://screencast.com/t/jPlMQFrZ What now?

phi
 one year ago
Best ResponseYou've already chosen the best response.1you can use L'Hopital d top/ d bottom = pi/3 or you can use algebra

Christos
 one year ago
Best ResponseYou've already chosen the best response.0and the lim(x>+infinity) goes away?

Christos
 one year ago
Best ResponseYou've already chosen the best response.0but still I am stuck on the lim thingy

phi
 one year ago
Best ResponseYou've already chosen the best response.1then sin (pi/3) = sqrt{3}/2 *** and the lim(x>+infinity) goes away? if you use L'Hopital \[ \lim_{x \rightarrow +\infty} \frac{ \pi x }{ 23x } = \lim_{x \rightarrow +\infty} \frac{\pi}{3}= \frac{\pi}{3}\]
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