## anonymous 5 years ago lim n tends to infinity sum from k=0 to n (nCk)/ (n^k)(k+3) where nCk is n!/(k!(n-k)!) How do you express this sum as an integration?

1. Owlfred

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2. anonymous

$\frac{nCk}{ n^k (k+3)}$?

3. slaaibak

Anyway you can give this more visually? I'm not 100% how the question looks like

4. anonymous

or

5. anonymous

$\frac{nCk}{n^k}(k+3)$

6. anonymous

k+3 is in the denominator

7. anonymous

ok

8. anonymous

9. anonymous

(1+x)^n = nC0 + nC1x + nC2 x^2 + .... nCk x^k + ... nCn x^n

10. slaaibak

$\lim_{n \rightarrow \infty} \sum_{k=0}^{n} nCr (n^k)/(k+3)$ ?

11. anonymous

(1+n)^x = xC0 + xC1 n + xC2 n^2 + .... +xCk n^k + .... x Cx n^x

12. anonymous

n^k and k+3 are in the denominator numerator is only nCk

13. anonymous

well I know what the solution to the integral is, do you want to know that? maybe it would help you in deciding what the integral should look like. I'm not sure myself how to write the integral yet

14. anonymous

no i want what the integral is the answer is not really important...