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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
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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
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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
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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 \[\frac{1 - \frac1e}{-1}\]
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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!
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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.
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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