A community for students.
Here's the question you clicked on:
 0 viewing
jatinbansalhot
 3 years ago
find out the limit of the following
( sin x ) / x where x > 0
jatinbansalhot
 3 years ago
find out the limit of the following ( sin x ) / x where x > 0

This Question is Closed

jatinbansalhot
 3 years ago
Best ResponseYou've already chosen the best response.0plz explain too . i found out it to be 0. u r right it is 1 how

furan143
 3 years ago
Best ResponseYou've already chosen the best response.1answer is 1,actually it's proof is a bit theoretical .if you want any proof please refer some standard text

furan143
 3 years ago
Best ResponseYou've already chosen the best response.1it's proof is well known and is known as sandwich theorem

jatinbansalhot
 3 years ago
Best ResponseYou've already chosen the best response.0as x reduces, the sin of x also reduces, then why 1

ankit709
 3 years ago
Best ResponseYou've already chosen the best response.0if u put the value of limit then u will get 0/0 form

furan143
 3 years ago
Best ResponseYou've already chosen the best response.1actually 0/0 is a indeterminate value

jatinbansalhot
 3 years ago
Best ResponseYou've already chosen the best response.0derivative ? but i don't know the derivative i'm beginner but soon be older :D :D hahahaa

ankit709
 3 years ago
Best ResponseYou've already chosen the best response.0this is L hospital rule

jatinbansalhot
 3 years ago
Best ResponseYou've already chosen the best response.0furan.. yah that would be indeterminate state

jatinbansalhot
 3 years ago
Best ResponseYou've already chosen the best response.0ohhh.. hospital ....

furan143
 3 years ago
Best ResponseYou've already chosen the best response.1I think the proof starts from some sort of triangle & using some inequality conditions

furan143
 3 years ago
Best ResponseYou've already chosen the best response.1buddy L'hospital rule is not the actual prrof

ankit709
 3 years ago
Best ResponseYou've already chosen the best response.0I KNOW but u also know that proof of this equation is 2 long

jatinbansalhot
 3 years ago
Best ResponseYou've already chosen the best response.0i think for the time being, it is enough that the limit of that is = 1 .... as i will advance in this calculus, i will come across the proof soon and become familiar with that ...

jatinbansalhot
 3 years ago
Best ResponseYou've already chosen the best response.0really too long ? i thought it would be very simple

furan143
 3 years ago
Best ResponseYou've already chosen the best response.1okay then you better use L'hospital's rule then

jatinbansalhot
 3 years ago
Best ResponseYou've already chosen the best response.0yah.... i will ... :) thanks all frnds in here .. :) :) :) :) :) :) :) :) :) :) :) :) :) :) :)

furan143
 3 years ago
Best ResponseYou've already chosen the best response.1actually sandwich theorem is like the foundation of calculus

furan143
 3 years ago
Best ResponseYou've already chosen the best response.1proof is not that long but concept is difficult

jatinbansalhot
 3 years ago
Best ResponseYou've already chosen the best response.0sandwich.... i need to work up at great deal :) :) i will .. bcoz i want to be so perfect in calculus :)

furan143
 3 years ago
Best ResponseYou've already chosen the best response.1I remembers the last step

jatinbansalhot
 3 years ago
Best ResponseYou've already chosen the best response.0it's alright no problem. thanks you all alot...... really helpful for me.... :)

CeW
 3 years ago
Best ResponseYou've already chosen the best response.0sin(x) for small x is x. x/x is 1 for any x.

furan143
 3 years ago
Best ResponseYou've already chosen the best response.1cosx<(sinx/x)<1 here (sinx/x) is sandwiched between cosx & 1 (here not that cosx is also 1 when x tends to zero so sinx/x has no other option other than to tend to zero) that's why it has got the name sandwich or squeeze theorem

CeW
 3 years ago
Best ResponseYou've already chosen the best response.0sin(x) / x does not approach 0 in the limit of x > 0 !!

jatinbansalhot
 3 years ago
Best ResponseYou've already chosen the best response.0santosh r u there?

jatinbansalhot
 3 years ago
Best ResponseYou've already chosen the best response.0hi experimentX, how are you brooo...

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.0doing fine ... i might be offline pretty soon .. dw:1334192708048:dw

jatinbansalhot
 3 years ago
Best ResponseYou've already chosen the best response.0before being, could you expect to have some time with me or not ?

jatinbansalhot
 3 years ago
Best ResponseYou've already chosen the best response.0open these three :)

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.0you see arc there = it's value = \(r\theta\), when \( \theta>0\), the ARC and H seem to be one line. or h/rQ > tends to one as Q>0 h/r = sinQ => sinQ/Q>1 as Q>0

jatinbansalhot
 3 years ago
Best ResponseYou've already chosen the best response.0i want to know why epsilon is smaller than a  x0 and x1  a

jatinbansalhot
 3 years ago
Best ResponseYou've already chosen the best response.0yah.... both approach toward 0 i saw that

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.0It's not both approach to zero ... it's how their ratio approach as Q approaches to zero > that is limit.

jatinbansalhot
 3 years ago
Best ResponseYou've already chosen the best response.0why epsilon is smaller than a  x0 and x1  a ............................... :)

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.0how is epsilon defined??

jatinbansalhot
 3 years ago
Best ResponseYou've already chosen the best response.0i know how epsilon is defined but why epsilon is smaller than a  x0 and x1  a ............................... :)

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.0i don't know how epsilon is defined ... is it xa < epsilon or f(x)  L  < epsilon

jatinbansalhot
 3 years ago
Best ResponseYou've already chosen the best response.0omggggggggggggg... how i can get answer to my question... here no one knows about limit definition properly..... ... leave it i try to google it... :D

jatinbansalhot
 3 years ago
Best ResponseYou've already chosen the best response.0thanks experimentX..... :) :)

jatinbansalhot
 3 years ago
Best ResponseYou've already chosen the best response.0ExperimentX... I go and study mathematics more and more if again any ques i would come back :) take care brooo :)
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.