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(2+2^(2))(-4n^(2))(n^(3))/(3),n in M...

(2+2^(2))(-4n^(2))(n^(3))/(3),n in M

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Let Delta_(a)=|{:((a-1),n,6),((a-1)^(2), 2n^(2),4n-2),((a-1)^(3),3n^(3),3n^(2)-3n):}| the value of sum_(a=1)^(n)Delta_(a) is

Let Delta_(a)=|{:((a-1),n,6),((a-1)^(2), 2n^(2),4n-2),((a-1)^(3),3n^(3),3n^(2)-3n):}| the value of sum_(a=1)^(n)Delta_(a) is

Let Delta_(a)=|{:((a-1),n,6),((a-1)^(2), 2n^(2),4n-2),((a-1)^(3),3n^(3),3n^(2)-3n):}| the value of sum_(a=1)^(n)Delta_(a) is

lim_(n rarr oo) (1^(2)+2^(2)+....+n^(2))/(2n^(3)+3n^(2)+4n+1 ) =

Find underset(n to oo)lim x_(n) if (a) x_(n)=(3n^(2)+5n+4)/(2+n^(2) (b) x_(n)=(5n^(3)+2n^(2)-3n+7)/(4n^(3)-2n+11) (c) x_(n)=(4n^(2)-4n+3)/(2n^(3)+3n+4) (d) x_(n)=(1^(2)+2^(2)+.....+n^(2))/(5n^(3)+n+1)