to apply L'Hopital's rule 50 times. (You'll see an obvious pattern after the first couple of times.) You can also make the variable change m = (ln n), which changes things

How can I see that the limit of (1/2)n * ln[1 + (2x/n) + ((x^2 + y^2) / n^2) ] goes to x as n goes to

i am a relatively new teacher and i want something to really push my advanced math class. i have a

some while ago when talking about limits , i used l'hospitals rule or taylor series. i was then

ax^2 + bx + c = 0 for a = 0 x = -c / b for a =/= 0 x = [-b + sqrt(b^2 - 4ac)]/2a we dont see the

Hello, I came across a limit which I am having trouble to solve. I applied L'Hopital rule but I

who is the most important inventor of calculus? Newton or Leibniz??

Hello, I am looking for a few limits problems to give to my students. I am looking for university

logarithms and L'Hopital's rule, I noticed it easily generalized to what I posted. Although I didn't try to evaluate it using another approach, I doubt I would have come

how to slove this problem ftp://172.25.53.21/image/002.gif thank you very much

I was helping a student with calculus, and he posed me this problem assigned by his professor:

exception of L'Hopital's 1696 text. As for algebra, Van der Waerden's "Algebra" might be a contender. However, I think Gauss' "Disquisitiones

show by L'Hopital's rule, so it diverges by comparison with the harmonic series. In fact, the series {n^(-p) * (log n)^(-q)} diverges for all (p,q) belonging to (-oo, 1) x (

, Dave L. Renfro wrote: > > > > > David W. Cantrell wrote (in part): > > > > > > > Sorry for the delay in responding, but I can't see why > >

What is the derivative of 8^2x?

a for l'Hopital's Rule to > be valid as x -> a, not whether you need g'(x) <> 0. I was in a hurry (I was at work, had a little free time, and then something came up

Question: lim(n*(exp(1/n)-1))^n = ? I have spend much time on this problem, but even now I don't

> Dave L. Renfro wrote: > > > In the sci.math thread "[tan(sin x) - sin(tan x)]/(x^7) > > as x --> 0" I've posted two references about an interesting

DoubleX <tanht@pd.jaring.my> [sci.math May 2 2003 9:47:19:000AM] http://mathforum.org/discuss/

Posted by: Farfan at Ask An Analyst Is there any extension of/version of L'Hopital's rule for

) Dave L. Renfro ***************************************************************** ***************************************************************** ********

Michael Dave L. Renfro wrote in message ... >Michael >[sci.math Wed, 8 Nov 2000 23:31:23 -0500] > > >wrote > >> Just a side note, this graphical analysis is