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  1. S

    Aysmptotics : Need help with residues

    ok I am starting to get it,,but what's happens if its a double pole.Do you work out the residues for both functions and multiply the 2 residues together or does it depend eg Gamma[s]Zeta[1-s] so the pole would be at 0. Since the Gamma fn and the Zeta are multiplied together you multiply the...
  2. S

    Aysmptotics : Need help with residues

    Hey Is there a method in calculating the residues. Getting the poles is easy but i really don't know how my lecturer gets the residues eg. 1/2(Zeta[s]*Gamma[s/2] where at s = 1 it is Sqrt[Pi]/2 etc how does he do it?
  3. S

    Help with combinatorics

    ok,,so what i have now is correct?Just so i can get started...
  4. S

    Help with combinatorics

    btw can you recommend a combinatorics book because he's notes help only a lil plus sometimes he doesn't explain himself properly(by the way we don't have a prescribed textbook) so anything we would be appreciated...
  5. S

    Help with combinatorics

    Sorrie haven't replied for a while been kinda busy and sorrie again i thought there was a method because in our notes(which doesn't really help much) he has an example Suppose choose 25 objects from 7 types of objects s.t. every type of object appears at least twice and at most 6 times.. he...
  6. S

    Help with combinatorics

    i need help with combinatorics...i need to finda ogf to compute the how many ways can 27 identical walls be distributed into 7 boxes, where the first box can contain at most 9 balls How do this??can you give me a method or explain to me how to do this step by step PLEASE! sAint
  7. S

    How do you do a combinatorial proof?

    helps a bit so i wil just try some more of the exercises and see how it gows thanx..will ask if i need more help Saint
  8. S

    How do you do a combinatorial proof?

    I still don't get how you do that... eg summation from k=0 to n (n k) {k is underneath n so basically its choosing k from n} = 2^n
  9. S

    How do you do a combinatorial proof?

    How do you do a combinatorial proof? hey ppl! Im having a hard time trying to do a combinatorial proof! How do you start? WHat do you look at?? A general method would really help! Thanx SAint_n
  10. S

    Integrating sinx/x between (0,infinty)?

    1) i don't know how to use MATLAB / mathematica (if u were thinking about it) 2) Gotta show all the working out hahaha
  11. S

    Integrating sinx/x between (0,infinty)?

    i was thinking of approximating \int\frac{sinx}{x}dx\ by changing it into an alternating series where T(n) = \mid\int\frac{sinx}{x}dx\mid where n = 1... infinity and waz even thinking of using complex analysis to integrate it and we see when i get through it but I am also trying to...
  12. S

    Integrating sinx/x between (0,infinty)?

    sorry! i forgot to mention it. But looks like everyone got the idea that it was (0,infinity) which it what i wanted. Found out that the method i mentioned before... i did a stupid thing by turning the minus to plus, DOPE!thanx
  13. S

    Integrating sinx/x between (0,infinty)?

    writing T(n) = \mid\int\frac{sinx}{x}dx\mid Can u write sinx as a power series then dividing by x and integrating it then you get T(n) so T(n) = x + (x^3)/(3!3) + (x^5)/(5!5) + ... since i made my interval ( (n-1)\pi , n\pi) Why am i getting t(n) > t(n-1) What am i doing wrong??Can it...
  14. S

    Integrating sinx/x between (0,infinty)?

    thanx for the help ppl!My light bulb just went on!Couldnt av done it without yas Saint_n
  15. S

    Integrating sinx/x between (0,infinty)?

    integrating sinx/x between (0,infinty)? hey ppl! Can you help me by giving me a method or how you would go around to prove that this \mid\int\frac{sinx}{x}dx\mid exists. Thanx Saint_n
  16. S

    Limitsproving they exist?

    How will you do \int\frac{sinx}{x}dx from zero to infinity. Which can be written as a alternating series T subscript n =\mid\int\frac{sinx}{x}dx\mid over intervals ((n-1)\pi,n\pi) but how do show as n tends to infinity that T(n) tends to 0? cos i can't integrate it
  17. S

    Limitsproving they exist?

    limits..proving they exist? Wot do u have to do to prove that an intergral exists.?? I know how to do it if the integrals bounds are given ( example, [a,b]) but wot if the integral is from x till infinity??
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