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3^(3)-2^(3)+3^(3)-4^(3)+cdots-9^(3)...

3^(3)-2^(3)+3^(3)-4^(3)+cdots-9^(3)

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The value of [1^(3) -2^(3) +3^(3) -4^(3) +…+ 9^(3)] is-

40^(3)-38^(3)+36^(3)-34^(3)+ cdots +4^(3)-2^(3) =

1^(3)+2^(3)+3^(3)+ cdots +20^(3) =

1^(3)- 2^(3) + 3^(3) - 4^(3) + …….+9^(3) =

1^(3)-2^(3)+3^(3)-4^(3)+........+9^(3) is equal to

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

1^(3)+2^(3)+3^(3)+4^(3)+5^(3)+6^(3)+7^(3)+8^(3)+9^(3)+10^(3)

1^(3) - 2^(3) + 3^(3) + 4^(3) + .... + 9^(3) =

1^(3)-2^(3)+3^(3)-4^(3)+"..........." + 9 ^(3)=

Evaluate the sum: 4^(3)+5^(3)+6^(3)+cdots +20^(3)