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Mathematics 15 Online
OpenStudy (anonymous):

how to find this

OpenStudy (angela210793):

this???

OpenStudy (anonymous):

here it iss

OpenStudy (anonymous):

help!!

OpenStudy (anonymous):

You need to draw it more clearly.

OpenStudy (anonymous):

prove whether it exist? try use one sided limit

OpenStudy (angela210793):

is it e^x

OpenStudy (anonymous):

is it okay?

OpenStudy (anonymous):

e^x or e^(-x)

OpenStudy (anonymous):

lim x->0 {(e^-x -e^-1)/x-1}

OpenStudy (anonymous):

quick guys PLEASE PLEASE....EVALUATE

OpenStudy (angela210793):

wolfram says it is -1/e I'm not sure how it got this though :S sorry

OpenStudy (anonymous):

@ang i need to learn steps not answers, that i can check frm back pages anyway thanks

OpenStudy (anonymous):

\[\large\frac{\frac{1}{e^x} - \frac1e}{x-1} =\frac{1}{e}\cdot\frac{e^{-x}\cdot e - 1}{x-1}=-\frac1e \cdot\frac{e^{1-x}-1}{1-x} = -\frac1e\]

OpenStudy (anonymous):

these are appearing in comands how to see it in equations...

OpenStudy (angela210793):

don't u have 1-1=0 in the denom Ishaan

OpenStudy (anonymous):

I am leaving the constant out or -1/e. http://en.wikipedia.org/wiki/Taylor_series \[\large \frac{e^{1-x}-1}{1-x} = \frac{1 + \frac{1-x}{1!} + \frac{(1-x)^2}{2!} + \ldots+\frac{(1-x)^{n}}{n!}-1}{1-x} \]

OpenStudy (anonymous):

all of these are appearing in "[\large \frac{e^{1-x}-1}{1-x} = \frac{1 + \frac{1-" how to see this in a form of equation ,, Im not able to get it!!!

OpenStudy (anonymous):

Refresh!

OpenStudy (anonymous):

MY GODDDD :-D :- D:-D :-D

OpenStudy (anonymous):

Wait x->1, your question is wrong if x-> 0 then it's \[\frac{1 - \frac1e}{-1}\]

OpenStudy (anonymous):

or \[\frac1e -1\]

OpenStudy (anonymous):

its correct perfect

OpenStudy (anonymous):

I didn't mean your question is wrong but all I am saying is I was under the impression that x->1 all this time for x->0 you only need to put the limit in, no need of such manipulation

OpenStudy (anonymous):

thanks dost , 1 more quesion, please

OpenStudy (anonymous):

Done, post it!

OpenStudy (angela210793):

x->0 :O

OpenStudy (anonymous):

waah U R THE BEST

OpenStudy (anonymous):

Do you know differentiation?

OpenStudy (anonymous):

yes , L hospital's rule use karun kya

OpenStudy (anonymous):

Apply it, twice.

OpenStudy (anonymous):

Yes, L'Hospital use karna hai

OpenStudy (anonymous):

I dnt know that rule that much, please make me understand that how to decide the no, of required times of difrentiation

OpenStudy (anonymous):

kaise pata chalega ki kitni bar karna hai

OpenStudy (anonymous):

x^2 -> 2x -> 2 isliye do baar

OpenStudy (anonymous):

I got it YESSS!!!!

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