What is n/(1*3* *(2*n+1)) for large n?

[htg]

Homework Statement

What is n!/(1*3*...*(2*n+1)) for large n ? (I need an expression E(n) such that the ratio of E(n) by the quantity (n!/(1*3*...*(2*n+1)) goes to 1 as n goes to ∞.

Homework Equations

Does anybody know of an analog of Stirling's formula for ∏(2*k+1)?

The Attempt at a Solution

 

[Ray Vickson]

Homework Statement

What is n!/(1*3*...*(2*n+1)) for large n ? (I need an expression E(n) such that the ratio of E(n) by the quantity (n!/(1*3*...*(2*n+1)) goes to 1 as n goes to ∞.

Homework Equations

Does anybody know of an analog of Stirling's formula for ∏(2*k+1)?

The Attempt at a Solution

Use the fact that 1*3*5* ... *(2n+1) = (2n+1)!/[2*4*6* ... *2n], and re-write the denominator here.

RGV

 

[htg]

Use the fact that 1*3*5* ... *(2n+1) = (2n+1)!/[2*4*6* ... *2n], and re-write the denominator here.

RGV

Thanks, it solves my problem.