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[" If "A(n)=lim(n rarr oo)((2)/(1+n^(2))...

[" If "A_(n)=lim_(n rarr oo)((2)/(1+n^(2))+(4)/(4+n^(2))+(6)/(9+n^(2))+......+(3)/(5n)],[" then "e^(A)=" is equal to - "]

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lim_(n rarr oo)(e^(2n)(n!)^(2))/(2n^(2n+1))

lim_(n rarr oo)((1)/(n^(2))+(2)/(n^(2))+(3)/(n^(2))+...+(n)/(n^(2)))

lim_(n rarr oo)(2^(n)+3^(n))^(1/n)

lim_(n rarr oo)((n)/(n^(2)+1^(2))+(n)/(n^(2)+2^(2)) + (n)/(n^(2)+3^(2))+......+(1)/(5n)) is equal to :

lim_(n rarr oo)((n)/(n^(2)+1^(2))+(n)/(n^(2)+2^(2)) + (n)/(n^(2)+3^(2))+......+(1)/(5n)) is equal to :

lim_(n to oo)[(n)/(1+n^(2))+(n)/(4+n^(2))+(n)/(9+n^(2))+…+(1)/(2n^2)]=

lim_(x rarr oo) ((2n+1)(3n+2))/(n(n+9))=

lim_(n rarr oo) (4^(n)+5^(n))^(1/n) =

lim_(n rarr oo) (4^(n)+5^(n))^(1/n) =