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?

Question

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?

owlfred · Answer

Hoot! You just asked your first question! Hang tight while I find people to answer it for you. You can thank people who give you good answers by clicking the 'Good Answer' button on the right!

anonymous · Answer

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

slaaibak · Answer

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

anonymous · Answer

or

anonymous · Answer

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

anonymous · Answer

k+3 is in the denominator

anonymous · Answer

ok

anonymous · Answer

easier way is start with the expansion (1+x)^n

anonymous · Answer

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

slaaibak · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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