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Science & Mathematics - 8 November 2007

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2007-11-08 21:02:48 · 4 answers · asked by Bernard T 1 in Other - Science

lim: n^(1/2)*(1-ln((1+1/n)^n))

How do I show this sequence converges to zero? It would be so easy if that n^(1/2) wasn't there since ln((1+1/n)^n)->ln(e)=1

But I'm stuck and I don't know what to do.

Maybe it's easier if you write it as:
n^(1/2) *(1- n*ln(n+1) +n*ln(n))

Any help would be greatly appreciated

2007-11-08 20:53:03 · 3 answers · asked by greeneggs4spam 3 in Mathematics

I have a feeling I'm just making this more difficult than it really is.

2007-11-08 20:33:24 · 2 answers · asked by **Tx32** 2 in Mathematics

The force exerted by an unusual spring when it's compressed a distance 11 {\rm cm} from equilibrium is given by F = - kx - cx^3, where k = 304N/m and c = 3.5N/m^3.

Find the energy stored in this spring when it's been compressed 11 {\rm cm}.

Isn't the energy stored equal to

U = 1/2 kx^2

I plugged in 304 for k and .11 for x and go 1.839 which was incorrect. I know this problem looks too easy to be true so I want to know what I did wrong.

2007-11-08 20:13:11 · 2 answers · asked by Anonymous in Physics

We don't know if it was made out of nothing but do we know that it can never become nothing?

Does nothing even exist?

2007-11-08 20:09:06 · 6 answers · asked by ? 2 in Astronomy & Space

2007-11-08 20:08:34 · 27 answers · asked by Anonymous in Zoology

I would like to know whether sodium phosphate dibasic NA2HPO4, 5 x 0.1M in 500ml water, prepared using 35.5g diluted in 500ml distilled water, will form crystals when stored at -4 degree celsius? I'm wondering why the one prepared by my senior forms crystals whereas mine don't. I've followed her instructions carefully. What seems to be the problem?

2007-11-08 20:06:45 · 1 answers · asked by pUn|sh3r 2 in Chemistry

The mercury in my thermometer has separated and so does not give an accurate reading. Does anyone know how to bring it back together?

2007-11-08 19:57:12 · 11 answers · asked by Anonymous in Physics

2007-11-08 19:57:04 · 11 answers · asked by Anonymous in Medicine

my mam said that nucleus is positive charge wherelse electron is negative charge so it revolves. opposite charge attract each other. then why electron and nucleus are not attracted?

2007-11-08 19:55:11 · 8 answers · asked by Anonymous in Physics

A skier starts down a frictionless 30{^\circ} slope. After a vertical drop of 27m, the slope temporarily levels out and then drops at 22{^\circ} an additional 41m vertically before leveling out again.

A. What is the skier's speed on the upper level stretch?

B. What is the skier's speed on the lower level stretch?

My Work for A:

Initial: K + U = Final: K + U
K = kinetic energy, U= potential energy
Initial: 1/2 mv^2 = mgh = Final: 1/2 mv^2
Since it's a 30 degree slope, force of gravity is:
X direction: mgsin30
Y direction: mgcos30
Where gravity = 9.8 m/s^2
Height: 27m

Before the 27m drop, does the skier have kinetic energy? I would think so because he's moving but does he have potential energy right before he drops? If so, does the kinetic+potential before he drops have to equal to 1/2 mv^2 once he is on the stretch?

I am confused.

Thanks.

2007-11-08 19:49:34 · 1 answers · asked by Anonymous in Physics

I have asked this question by someone. please provide me the next three digit with any option. I hope our mathematics experts can help me.

regards/Nak

2007-11-08 19:47:35 · 9 answers · asked by Spider S 1 in Mathematics

no idea

2007-11-08 19:44:24 · 9 answers · asked by Anonymous in Mathematics

a. a beta-lactam ring
b. resistance to the action of penicillinase
c. a semisynthetic nature
d. an expanded spectrum of activity
e. all of these are correct

2007-11-08 19:38:46 · 6 answers · asked by Anonymous in Biology

Like fossils, dinosaurs. ancient buildings, cities, etc.They all got buried under the ground.

Will that make the earth ticker and ticker over time?

Will our city where we currently live in be buried under the ground in the next few thousand years?

2007-11-08 19:36:59 · 4 answers · asked by Perak Man 1 in Earth Sciences & Geology

2007-11-08 19:36:06 · 3 answers · asked by ham 1 in Botany

please help. i know its true but why?

2007-11-08 19:31:40 · 1 answers · asked by wtfitsnguyen 2 in Physics

2007-11-08 19:27:27 · 3 answers · asked by Anonymous in Botany

hey thnks for answering my qns.(how to draw the molecular orbital diagram for BeF2)
but i wanted a MO diagram. u gave me the lewis structure instead.

2007-11-08 19:20:10 · 1 answers · asked by garwood_lim 1 in Chemistry

wire? any metal? key chain? anything

2007-11-08 19:19:59 · 7 answers · asked by evil_man 2 in Other - Science

and why some observers from Earth see no eclipse at all?

2007-11-08 19:13:31 · 8 answers · asked by kris 1 in Astronomy & Space

i live in Africa and i'm sure they do x its almost worse than a misquito x is that possible?

2007-11-08 19:11:59 · 16 answers · asked by Ms Chaplin 3 in Zoology

i need help finding the secant line from ( a, f(a) ) to ( b, f(b) ) and then the tangent line that is parallel to the secant line.
f(x) = x + (1/x) [ .5, 2 ]

2007-11-08 19:05:52 · 1 answers · asked by sniper88gt 1 in Mathematics

2007-11-08 18:52:28 · 4 answers · asked by worried person 1 in Physics

???

2007-11-08 18:51:17 · 4 answers · asked by cucumis_sativus 5 in Botany

?

2007-11-08 18:43:57 · 3 answers · asked by cucumis_sativus 5 in Botany

http://i40.photobucket.com/albums/e215/xxs3xp1stolxx/Algebra%20II/album%20name/407a/Picture11.png

2007-11-08 18:40:46 · 3 answers · asked by Ant J 1 in Mathematics

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