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 !!! 🙂 🙂 🙂
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