Question

please help me in mathematical definition of limit?

Answer 1

http://en.wikipedia.org/wiki/(%CE%B5,_%CE%B4)-definition_of_limit#Precise_statement

Answer 2

there cannot be more clear and simpler definition than that.

Answer 3

it says that if epsilon is increasing then delta is increasing correspondingly and vice versa

Answer 4

a specific question is a better method of asking a question here
you will get lots of answers.
otherise it is easier to google

Answer 5

0<|x-a|< delta i can't understand this this is the main problem in whole definition. \[0 < | x - a| < \delta\] i have problem in this part only

Answer 6

as x approaches a, the distance between a and x also tends to be less and less.

Answer 7

correspondingly you will have same effect between f(a) and f(x)

Answer 8

the statement \(0<|x-a|<\delta\) means \(-\delta<x-a<\delta\) means
\(a-\delta,x<a+\delta\)
it is a succinct way to say that x is within "delta" units of "a"

Answer 9

for example, if \(a=2\) and \(\delta =0.01\) then the statement \(0<|x-2|<0.01\) means
\[1.99<x<2.01\] i.e. x lives in the interval \((1.99,2.01)\) i.e. x is withing 0.01 units from 2

Answer 10

typo above, i should have written \(a-\delta<x<a+\delta\)

Answer 11

satellite , where you should have written ? in place of −δ <x−a< δ ?

Answer 12

right

Answer 13

\[0<|x-a|<\delta \iff a-\delta<x<a+\delta\] is the idea, they say the same thing

Answer 14

satellite and experiment u can't blv but u really helped me so beautifullly.. i'm so so thankful to both of u

Answer 15

yah, we have just add a through the inequality ... :)

Answer 16

yw from me, and i bet from experimentx too

Answer 17

satellite i want to add u how i can do that if u allow me. i'm new here

Answer 18

satellite tell me how to add u

Answer 19

you are welcome.
click on his icon, then click become fan
you will be easily be able to contact when he's around.

Answer 20

experiment i'm beginner in mathametics. after Limit should i study Derivativs or integration?

Answer 21

continuity => then derivative => applications of deriative => integration => application of integration => other advanced topics

Answer 22

i have already done Algebra 1, 11, 111, college level Algebra, Trigonometry, Precalculus . now if i'm doing Calculus 1, am I on right track ?

Answer 23

yea ... it's all right ... i guess you are still in high school

Answer 24

no i have done BCA( Bachelor in Computer Application ) but i'm 10th class math failure. I used to love mathematics but it has been always stumbling block for me in my whole life. Now I'm trying in this field my best. I never left mathematics but it has never come into my hand. but now mathematics and me are very gud friends : ) :)

Answer 25

limit and continuity ... these are the things that you usually do on 11 th grade. I thought you were 11 th grade student. sorry, well ... mathematics helps in computer applications a lot.

Answer 26

experiment no sorry it's alright frnd. I want to become world-wide famous in Software development that is why I'm doing so much in mathematics :) :)
Experiment can u tell me what is this Calculus 1, Calculus 11, Calculus 111 ? should we do them in the same sequence or we can change the sequence ? if yes then how?

Answer 27

i think it's better to follow sequence ... I've been a programmer myself, though i barely used my mathematical skills in programming, i have come to conclude that mathematics make mind smart.

Answer 28

yah.. experiment u r right. Can i contact u somewhere else? such as facebook, paltalk , yahoo M?
can u suggest me some links where i can find all the info about prerequisites for taking a course in mathematics ?

Answer 29

yah .
yatin_bansal2000@yahoo
this is my facebook id

Answer 30

either clean up all unnecessary comments ... or close this question and ask a new one.

Answer 31

better to ask new question, there might be a lot more people who might help you besides me.

Answer 32

here yah we r together again :D

Answer 33

yah i type

Answer 34

find left and RIght Limit of the following
e\[( e ^{1\div x} - 1 ) \div ( e ^{1\div x} + 1 ) where x -> 0 \]

Answer 35

1

Answer 36

both are 1 ?

Answer 37

left is -1

Answer 38

do u have yahoo messenger. i want to voicechat with u over this plz

Answer 39

BRB

Answer 40

sure i will wait

Answer 41

i don't use yahoo messenger ... use skype

Answer 42

sure i download and install sky

Answer 43

it's quite difficult question.

Answer 44

i got the answer first from wolfram calculator. I don't think i would be able to explain it easily to you. it took a bit long for myself to solve.

Answer 45

http://www.wolframalpha.com/input/?i=limit+x-%3E0+%28e%5E%281%2Fx%29-1%29%2F%28e%5E%281%2Fx%29%2B1%29

Answer 46

no it would not take much time blv i will explain everything u have to tell just about onething . :)

Answer 47

yeah??

Answer 48

yah.... really :)

Answer 49

about what ??

Answer 50

You know L'hospital rule??

Answer 51

about my problem :)

Answer 52

L'hospital rule? what is that :)

Answer 53

yes ... just google it

Answer 54

i am getting mad first time i am not able to get skype omg

Answer 55

sure i google

Answer 56

L'hospital rule involves inverse function?

Answer 57

http://www.math.psu.edu/dlittle/java/calculus/lhospital.html

Answer 58

no ... I don't think inverse function, it's for indeterminate functions.

Answer 59

plz take a look in here

http://www.math.psu.edu/dlittle/java/calculus/lhospital.html

what is f'(x) ?

Answer 60

f(x)/g(x) is an indeterminate quotient

Answer 61

that's derivative ... i don't think i can explain it to right now i guess.

Answer 62

indeterminate means that there is possibility of g(x) being equal to 0. ?

Answer 63

skip this problem for now, the right hand limit will be 1, skip right hand limit.
do this after you learn derivative.

Answer 64

sure :) hahahaahahahahahahahahaah i skip

Answer 65

should i say one thing to u . u r very nice person like me hahahaahaha really :)

Answer 66

I am an complete moron ... i guess.

Answer 67

indeterminate forms are the unknown secrets of mathematics, you should always avoid this
http://en.wikipedia.org/wiki/Indeterminate_form

Answer 68

yah such as dividing by zero or infinity . m i right na ?

Answer 69

yeah .. there are 7 forms listed
http://en.wikipedia.org/wiki/Indeterminate_form#List_of_indeterminate_forms

Answer 70

if 1 is raised to anything it is 1. then if 1 is raised to \[\infty\] then why it is indeterminant state?

Answer 71

hahah ... i don't think i am good enough to answer that? let's see.

Answer 72

no problem we learn this way every time something new :) :) :D

Answer 73

i think i understand now ... do you know log function.

Answer 74

yah.. i know that :)

Answer 75

yatin.bansal3
that is my skype id

Answer 76

lake log on 1^inf ,,, you will get 0xinf ... which is again indeterminate form.

Answer 77

can u come into skype ?

Answer 78

okay ... i run on quite slow conn.

Answer 79

we dont need fast speed too

Answer 80

what is ur skype name