Find the product of the following infinite number of terms:

, and also,

Hence, we get , which in turn, equals

, that is, in turn equal to

, that is, in turn equal to

, so that when , and then .

*personal comment: I did not find this solution within my imagination !!! ðŸ™‚ ðŸ™‚ ðŸ™‚*

The credit for the solution goes to “Popular Problems and Puzzles in Mathematics” by Asok Kumar Mallik, IISc Press, Foundation Books. Thanks Prof. Mallik !!

*Cheers,*

Nalin Pithwa