Consider a sequence of functions as follows:-
……and so on to
Evaluate this function as n tends to infinity.
which gives the special cases
Proof of Ramanujan’s nested radicals equation
Then keep replacing the the last part term by writing in the form of to give
Which is another form of our problem and is referred as Ramanujan’s Nested Radical. Comparing these two expressions & assuming
=, we can write the problem as:
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