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shreshthmohan

phi is a const similar to pi (both irrational) has a value given by
_{[ n]}

_{[ infinity} T(n) / T(n-1)
where T(n) denotes the nth fibo no
to get the value of lim
we know for fibo nos T(n)=T(n-1)+T(n-2) so

= _{[ n]}

_{[ infinity} {T(n-1) +T(n-2)} / T(n-1)= 1+ _{[ n]}

_{[inf ]} T(n-2)} / T(n-1)
but as n tends inf _{[ n]}

_{[inf ]} T(n-2)} / T(n-1) is same as 1/

= 1+1/

solving resulting eqn we get

=(1+

5)/2 i.e. irrational
dont just see this plzzzzzzzz rate