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Am i missing something????Hell there was an integration by parts question in question 15,
Recurrence formula one.Am i missing something????
Very nice.Q15
a) (iv) using iii) 1<=j<=n
sqrt(n) <= sqrt(j(n-j+1)) <= (n+1)/2
let j=1,2,3...n and multiply them all
sqrt(n^n) <= sqrt([1*2*3....*n][n*(n-1)*(n-2)...1] <= [(n+1)/2]^n
sqrt(n^n) <= sqrt([n!][n!]) <= [(n+1)/2]^n
sqrt(n^n) <= n! <= [(n+1)/2]^n