Cambrdige 4I Q15 (1 Viewer)

[ISAM77]

For Q15 e) .

Part of the solution uses the fact that I>0 for all n (highlighted in green). How do we know this?

 

[liamkk112]

look at the integrand x^(n-1)/(x+1)^n. on [0,1] the function is positive (since both x^(n-1) and (x+1)^n will be), so the integral is also going to be positive

 

[ISAM77]

look at the integrand x^(n-1)/(x+1)^n. on [0,1] the function is positive (since both x^(n-1) and (x+1)^n will be), so the integral is also going to be positive

Oh thanks mate. Easy logic.