1.

Compute ((1+k)(1+k/2) ..... (1+k/n))/((1+n)(1+n/2) ..... (1+n/k))

Answer»

SOLUTION :((1+K)(1+k/2) .... (1+k/N))/((1+n)(1+n/2) .... (1+n/k))
((1+k)(2+k) .... (n+k))/(1.2.3.......n)/((1+n)(2+n) .... (k+n))/(1.2.3.......k)
(1.2.3...k(k+1)(k+2)....(k+n))/(1.2.3....n(n+1)(n+2)....(n+k))
`((k+n!))/((n+k!))` = 1


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