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1. ### Assume that lim_x-->0 f(x)= L for some real number L >0.?

...delta>0 ..." Let epsilon be 1/2 then there is a delta such that ( L - eps ) = L /2 < f(x) < 3L/2 ( L + eps ...

3 Answers · Science & Mathematics · 20/01/2013

2. ### Proof: Suppose that the limit of a function f : R > R as x approaches a, element of R exists.?

...0, such that, if 0 < |x -a| < L , then |f(x) - L | < eps . Suppose L ' is also limit of f at a. Then...

2 Answers · Science & Mathematics · 22/12/2007

3. ### Using tensor notation GRR!!!?

...delta(p, l )delta(q,m) - delta(p,q)delta(q, l ) so del cross (dell cross F) = eps _ l d_m d_ l F_m - eps _m d_ l d_ l F_m = del(del dot F...

2 Answers · Science & Mathematics · 10/07/2008

4. ### I Need Math Help!!?

real length = L distorted length = L + eps absolute error in Volume = ( L + eps ) ^ 3 - L ^3

1 Answers · Science & Mathematics · 03/03/2008

5. ### How can I prove (1/2)Del(V dot V)= V dot delV + V cross (Del cross V) my work shown.?

...v x (del x v) (i) = eps (i,j,k) v(j) (del x v) (k) but (del x v) (k) = eps (k, l ,m) d/dx( l ) v(m) so v x (del x v) (i) = eps (i,j,k) v(j) eps (k...

3 Answers · Science & Mathematics · 24/01/2015

6. ### Uniform convergence and interchange of limits?

...x) - f(x)| < eps /3 for every x in [0, oo) and | L _n - L | < eps /3 Since f_n(x) --> L _n as n --> oo, there is u such...

1 Answers · Science & Mathematics · 28/01/2017

7. ### Need help with an advanced Calculus problem?

...such that a < x < b => f(x)/g(x) < L + eps => 0 < f(x) < ( L + eps ) g(x). ...

1 Answers · Science & Mathematics · 07/12/2008

8. ### proof of limit law : lim (x approch a ) [ f(x) - g(x) ] = L - M?

...as the limit of f(x) as x goes to a is L , there is a positive number d_1 such that whenever... that if |x-a| < d then |f(x) - g(x) - ( L -M)| < e. since e > 0 was...

2 Answers · Science & Mathematics · 23/06/2009

9. ### proof limit of cosec(x) = +infinity as x approaches to Pi-0 using basic definition of limits(delta&epilon?

...any L > 0, we can find a number ( eps ) such that f(x) > L whenever a - eps < x < a now 1/sin(x) > L for a...

1 Answers · Science & Mathematics · 30/10/2013

10. ### How to prove the set of subsequential limits of X is connected?

...subset of B(D1, eps ), so x_k lies in B(D1, eps ). Denote G = { l - positive integer: l >k and x_ l does not lie in B(D1, eps ...

1 Answers · Science & Mathematics · 11/09/2008