Find the limit of ( n(n+1)/2 )^2 * 2/n^3 * 2/n as n goes into infinity

I keep on getting 1, which is the wrong answer. Please help!

1 answer

( n(n+1)/2 )^2 * 2/n^3 * 2/n
is the same as:
(n(n+1)/2)^2 * (2/n^3) * (2/n)
when parentheses are inserted to make the expression unambiguous.

The limit of the parenthesized expression is 1 as n->∞, as you have found it.
You will review the expression to see if it should be interpreted differently if the answer is incorrect.

If the expression is correct, there is always the minimal chance that the answer is incorrect.
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