A community for students.
Here's the question you clicked on:
 0 viewing
karatechopper
 one year ago
Find the limit. (Special Trig functions)
As the lim (sinx/2x^2x) approaches 0.
karatechopper
 one year ago
Find the limit. (Special Trig functions) As the lim (sinx/2x^2x) approaches 0.

This Question is Closed

karatechopper
 one year ago
Best ResponseYou've already chosen the best response.0I broke the limit down and did this: sinx sinx    x 2x1 I used the special trig function to find out that sinx/x=1. So now I am left with 1  sinx/2x1 And I'm stuck!

karatechopper
 one year ago
Best ResponseYou've already chosen the best response.0to make more sense I am stuck on 1 (sinx/2x1)

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1\[lim_{x\rightarrow 0} \frac{sin \ x}{2x^2  x} = lim_{x\rightarrow 0} \frac{\frac{sin \ x}{x}}{2x  1} \] plus \[lim_{x\rightarrow 0} \frac{sin}{ x} = 1\]

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1Still having trouble?

karatechopper
 one year ago
Best ResponseYou've already chosen the best response.0yeah I still don't understand..

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1\(\large \frac{1}{2(0)  1} = ???\)

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1You need to notice that 2x²x = x(2x1). That's what @IrishBoy123 did.

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1And that's the same as \(\frac{ \sin x }{ x }*\frac{ 1 }{ 2x1 }\)

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1the crucial thing here is that \[lim_{x\rightarrow 0} \frac{sin \ x}{x} = 1\] so you set it up to have a \( \frac{sin \ x}{x} \) term but that \( \frac{sin \ x}{x} \) term is seminal

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1this the important bit @karatechopper ! https://gyazo.com/ad5c26d3cf8e2b41c20a8c7935b34a83 splitting it out so you have a \(\frac{sinx}{x}\) term

karatechopper
 one year ago
Best ResponseYou've already chosen the best response.0understood! thanks :)

karatechopper
 one year ago
Best ResponseYou've already chosen the best response.0BUT. How can you just take that x to the numerator when its being multiplied in the denominator?

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1When you have something like \(\LARGE\frac{\frac{a}{b}}{c}\) you can rewrite that as \(\LARGE\frac{a}{b*c}\).
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.