माना `a_(1)gta_(2)gta_(3)….a_(n)gt1,p_(1)gtp_(2)gtp_(3)…..gt p_(n)gt0,` जैसे कि `p_(1)+p_(2)+p_(3)+....+p_(n)=1` है, साथ ही `F(x)=(p_(1)a_(1)^(x)+p_(2)a_(2)^(x)+....+p_(n)a_(n)^(x))^(1//x)` है तो ज्ञात कीजिये।
`Lim_(x to oo)F(x)`

Answer

(a) `a_(1)^(p_(1)).a_(2)^(p_(2))....a_(n)^(p_(n));`
(b) `a_(1);`
(c ) `a_(n)`