Maybe you should use the fact that (1/n) is one of the terms of the product and all of the others are one or less.

Then use the fact that if you multiply by a number between zero and one it reduces a positive number or keeps

it the same when it is equal to one.

Then I think you can make Bob's deduction.

In a formal proof that needs to be written out correctly. If you are doing a pure maths related course, then I

should do the rest as an exercise, mukesh, if you just copy someone else's version then you won't understand it.

anonimystefy: I agree. Strictly speaking in a formal proof that probably isn't enough. Suppose the product sequence

converges to one with increasing density, as n inreases, all near to one. The product could converge to a higher number.