I would think the limit does exist, so what's the value of L in terms of p,q,C ? When p=q=a, C=0 the limit L = (a + sqrt(a^2 + 4*a))/2...
3338
jason1990
Nov 2, 2001 1:46 pm
If you look at the previous post (3319), you see that if the limit exists and IF U(n) -> oo, then the limit doesn't depend on C. Also, the previous post...
3339
itsanight
Nov 3, 2001 4:17 am
It is interesting to note that jason1990's approach to the determination of the limit of the ratio of successive terms of the "generalized" Fibonacci series,...
3340
itsanight
Nov 3, 2001 7:55 pm
Video_ranger's solution (Msg 3315), which uses the series for Ln(1+1/n), is certainly the best approach, but it is worth noting that the function e/(1+1/n)^n...
3341
weierstrass_99
Nov 4, 2001 3:24 pm
If f is continuous on [0,1] and if<br><br>int(0..1)((x^n)f(x) dx) = 0 <br><br>for all n=0,1,2,... then f(x)=0 for every x in [0,1]...
3342
video_ranger
Nov 4, 2001 5:05 pm
Another way of stating the premise is that for all polynomials P(x):<br><br>int(0..1)(P(x)f(x) dx) = 0<br><br>I think the Weirstrass polynomial theorem says...
3343
ynineteen
Nov 5, 2001 7:16 pm
Hi<br>I may remind you that all those set of numbers are somehow interloked and none of them could be modified or replace....
3344
jason1990
Nov 8, 2001 4:56 pm
>>Another potentially interesting topic is the extent to which Binet's Formula can be generalized.<<<br><br>In post 3316, if C=0, then a formula...
3345
video_ranger
Nov 8, 2001 7:06 pm
A half baked idea which occurred to me when this problem was posted was to consider each pair of consecutive terms in the sequence along with the number 1 to ...
3346
cs_smile
Nov 9, 2001 2:45 am
given sqrt[28-(10sqrt3)] = a+b where a is a positive integer and b is a number between 0 and 1. Find (a+b)/(a-b) Express your ans in surd form. Hint: Try...
3347
beata_stehlikova
beata_stehli...
Nov 9, 2001 10:02 am
I have given these three functions R^n -> R ... i=1,...n are const.<br><br>g(x) = [sum(xi*ln(xi))] - [sum(xi)*ln(sum(xi))]<br><br>t(x) = (c1*x1 + ... +...
3348
Clooneman
Nov 9, 2001 2:00 pm
Horrible answer: check and see if light rays passed through are "spread out", as such....
3349
jason1990
Nov 9, 2001 2:14 pm
I like this idea alot; here's a half-baked response:<br><br>What's important here is the elimination of C. So suppose we introduce the vector in R^2<br><br>W_k...
>> given sqrt[28-(10sqrt3)] = a+b where a is a positive integer and<br> b is a number between 0 and 1. Find (a+b)/(a-b) Express your ans in<br> surd...
3352
slim_the_dude
Nov 9, 2001 9:17 pm
Your solution was shorter than mine....
3353
beata_stehlikova
beata_stehli...
Nov 10, 2001 8:43 pm
Is this true?<br><br>We have a square symmetric matrix and all its main minors along the main diagonal are nonnegative. Then the matrix is positive ...
3354
video_ranger
Nov 10, 2001 11:08 pm
Oh I wasn't quite sure what you meant by a difference equation before but I see it's just a kind of finite difference analog to an ordinary linear differential...
3355
video_ranger
Nov 10, 2001 11:10 pm
The gamma function can be Taylor expanded about 1:<br><br>GAMMA(1+x) = 1 - (gamma)x +...Order (x^2)<br><br>where gamma = Euler constant (denoted by a lower...
3356
davevanrob
Nov 11, 2001 2:44 am
hey there. i was wondering if it is ever possible for a quadratic equation to have one real root and one imaginary root? <br><br>thanx. dave...
3357
Dathon966
Nov 11, 2001 3:46 am
hey there. i was wondering if it is ever possible for a quadratic equation to have one real root and one imaginary root? <br>------<br><br>No. Remember that...
3358
tonicopm
Nov 11, 2001 11:15 am
Original Message: "hey there. i was wondering if it is ever possible for a quadratic equation to have one real root and one imaginary root?"<br><br>Well, this...
3359
tonicopm
Nov 11, 2001 11:29 am
Original message: " If f is continuous on [0,1] and if int(0..1)((x^n)f(x) dx) = 0 for all n=0,1,2,... then f(x)=0 for every x in [0,1] "<br>Without using...
3360
beata_stehlikova
beata_stehli...
Nov 11, 2001 2:40 pm
If f is cont. on [a,b], then Int{x,a,b}(f(x)dx)=0 ==> f(x) = 0 on (a,b).<br><br>This is true only if f(x)>=0 or f(x)<=0 on that interval....
3361
mallam2you
Nov 11, 2001 6:19 pm
I dont really understand wat u mean...
3362
aldimalkoun
Nov 11, 2001 6:21 pm
Hi everybody,<br><br>I've been told recently that the 2-sphere cannot be made into a Lie group. I think this has got to do with the second homology group of ...
3363
aldimalkoun
Nov 11, 2001 6:44 pm
tonycopm wrote:<br>If f is cont. on [a,b], then Int{x,a,b}(f(x)dx)=0 ==> f(x) = 0 on (a,b)<br><br>Let f(x) = -x + .5. f is continuous on [0, 1], and its...
3364
bqllpd
Nov 11, 2001 10:47 pm
How would you go about solving a matrix quadradic?<br>I thought that when you work with matrices, they don't follow the same rules as ordinary...
3365
bqllpd
Nov 11, 2001 10:51 pm
Are prime numbers countably infinite or less? The reason I thoug it was less is because every prime can be put into more than one to one correspondence ie ...
3366
ynineteen
Nov 11, 2001 11:06 pm
Dear Clooneman:<br>When you responded<br><< I'm just overwhelmed by the whole thing.>> I wanted be sure that you know good math. ;-) <br>I checked...
