Question

Show that the function f(x) = sin x is continuous on R. Is it uniformly continuous on R?

Answer 1

do you need the graph?

Answer 2

@thinker: any method will b helpful...thanx in advance

Answer 3

okay, then as you know that sine can take values between -1 and 1, that means it is in a form of a wave that goes through the negative x-axis as well but between -1 & 1 of the y-axis, so its is continuos

Answer 4

does this help?

Answer 5

Could that be done by taking limits?

Answer 6

hmm..yeah it can be done that way too, but i suggest you to add up a graph for this as well which would make the solution much clear:)

Answer 7

now i am unable to post on the group chat ...lol

Answer 8

@thinker: me too. i would like to thank all u guys for helping me with this.u guys r just amazing n so intelligent

Answer 9

nicola quit?? :(

Answer 10

I was interested in what he was going to add!

Answer 11

me too.. !!

Answer 12

@ankur: so wer u satisfied with the answer?

Answer 13

yes but I guess I have to express it more with some equations n stuff. thanx again

Answer 14

yeah u can, and you're welcome ankur :)..hope u do well in ur math

Answer 15

O.K I am going to admit to some of my stupidity, in your question what is R?

Answer 16

R stands for real number line

Answer 17

R is the set of Real Numbers !! lol

Answer 18

ankur,I wrote it in group chat but it s sad that i can t post.
http://mathworld.wolfram.com/ContinuousFunction.html
you should use these three rules.

Answer 19

may i know which text you follow @ankur ?

Answer 20

hiya amistre !

Answer 21

I have been first time to this site n found it so helpful. Feeling so bad that I m not gud enough to help others ...I wish I could do that instead of keep asking like a moron :(

Answer 22

I m using james stewart calculus 6th edition

Answer 23

howdy think :) continuous IN R would have probably been more helpful :)

Answer 24

I think v r having a group chat ryt here .....yay :)

Answer 25

okay...there's one more text called "Thomas' Calculus" ...read at ur own risk lol :)

Answer 26

Thanks, as usual I learn something every time I log on this open study in math

Answer 27

ankur: dont feel bad, you asking questions allows us to "hone" our abilities..... use it or lose it right :)

Answer 28

Absolutely

Answer 29

Exactly amistre

Answer 30

Which book you think is best for calculus ? for beginners like me

Answer 31

principia mathmatica maybe? :)

Answer 32

It has been over 30 years that I had calc, and I think I lost most of it lol, I am trying to get back in it, but am having fun with algebra!

Answer 33

Precalculus: Mathematics for Calculus, Enhanced Review Edition <<<if u want to..this is what i found to be good for beginners!

Answer 34

ankur,was that link helped? i hope so!

Answer 35

I will be using "Calculus" Larson Hostetler Edwards

Answer 36

@nikola: thanx nikola. I really appreciate ur help

Answer 37

Hey guys !! I m just curious to where all u guys belong to ?? (country ) pls share

Answer 38

which state do u belong to?@ankur

Answer 39

I m in australia as an international student

Answer 40

but u are from India right?@ankur

Answer 41

I looked at the link and I am sure it will be helpful when I fully understand all of the termimology!

Answer 42

The state of Missouri here out in the woods of the Ozarls

Answer 43

ya...so u recognise indian flag? :)

Answer 44

I mean Ozarks lol

Answer 45

Shouln't we recognise our own country's flag?

Answer 46

@thinker: r u from india as well ?

Answer 47

:)

Answer 48

which part?

Answer 49

you say?

Answer 50

delhi?

Answer 51

R u from Delhi?

Answer 52

no...i was guessing urs hahha

Answer 53

ha ha...:) lol..good to hear frm someone of the same origin :) ankur

Answer 54

yes....thanx again for ur help...

Answer 55

you're welcome..ankur:) What language do u speak??

Answer 56

hindi

Answer 57

Cool..accha hai

Answer 58

ahhaha..jee bahut achha hai

Answer 59

ha ha ...kahan se ho?

Answer 60

chandigarh se aur aap?

Answer 61

oye punjabi!!

Answer 62

hahaha

Answer 63

ha ha

Answer 64

aap koi teacher vagairah hain kya?

Answer 65

naa...student

Answer 66

but math accha lagta hai

Answer 67

m.sc kar rahe ho?

Answer 68

naah...

Answer 69

aap ?

Answer 70

nahi bachelors

Answer 71

B.Sc ? in math?

Answer 72

haan ...aap?

Answer 73

Completed it last year...which year r u in?

Answer 74

first

Answer 75

ohh accha..australia mein

Answer 76

jee

Answer 77

nikola I m waiting for your thoughts, :)

Answer 78

me too :)

Answer 79

maybe yeh soch rahe hai ki hum kya bol rahe honge

Answer 80

hahah..ye naam se to ladki lag rahi hai ....shayad kuch baat ban jaye hahah

Answer 81

yeh sirf math ka site hai

Answer 82

go on nikola , type something:)

Answer 83

shayad chale gaye

Answer 84

haan :(

Answer 85

ok bhai ....phir milte hain kabhi isi site pe agar kismat mein hua toh

Answer 86

haan..bhai kyu nahi...i come online on fridays...u?

Answer 87

pakka nahi ...

Answer 88

sorry i didnt get u...

Answer 89

not sure when I will b online next...

Answer 90

okay...koi nahi...jab bhi aajao ..dekhenge :)

Answer 91

ok sir ...c u

Answer 92

ok..All the best Ankur :)

Answer 93

tnx

Answer 94

arey

Answer 95

kya ??

Answer 96

yeh to bata do kis city se ho? pata to chale kisse baat kar rahe the?

Answer 97

Country pat achal gaya , yeh abhi ke liye kaafi hai....baki next time:)

Answer 98

* pata chal gaya (hum bohut sari cities mein jaa chuke hai)