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anonymous
 4 years ago
Compute lim x>0 (4x/sin(3x)+x/cos(3x))
anonymous
 4 years ago
Compute lim x>0 (4x/sin(3x)+x/cos(3x))

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myininaya
 4 years ago
Best ResponseYou've already chosen the best response.1\[\lim_{x \rightarrow 0}(\frac{4x}{\sin(3x)}+\frac{x}{\cos(3x)}=\frac{4}{3}\lim_{x \rightarrow 0}\frac{3x}{\sin(3x)}+\lim_{x \rightarrow 0}\frac{x}{\cos(3x)}\] Recall \[\lim_{u \rightarrow 0}\frac{u}{\sin(u)}=1\]

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.1the other one is just direct sub.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i didnt quite understand what you just showed =/

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0okay so what did you do their when you put 4/3

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.14/3 * 3 =4 I just multiplied the first fraction by 3/3

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0which became 12x/sin(9x)?

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.13sin(3x) does not equal sin(9x)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0oh ur right lol sorry about that

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0whats the purpose of multiplying by 3/3?

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.1\[\lim_{u \rightarrow 0}\frac{u}{\sin(u)}=1\] Do you recall this?

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.1so this means we can say \[\lim_{x \rightarrow 0}\frac{3x}{\sin(3x)}=1\]

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.1so I wanted a 3 up there in our problem

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.1but if i put a 3 on top I have to put a 3 on bottom

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.1so that is why I multiplied by 3/3

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i get it so the first part became 1

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.1yes 4/3 times 1 is the first part

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.1not the second part we just plug in 0

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.1is everything ok? you got it?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so then it would be 0/cos(3(0))

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.1so we have 4/3 from the first part+ 0 from the second part =4/3

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.1Spikey I appreciate that you want to learn this stuff. Thanks for engaging in the learning process. That is really cool dude.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0lol thank you :) i take AP calc

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.1It is really cool to have that attitude. You will go far.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0theres just some stuff that i dont really comprehend my teacher doesnt teach some stuff clearly

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0lol yeah i never give up. :)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0always trying to learn new things.

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.1Good luck to you and peace out!
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