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For a ∈ R (the set of all real numbers), a ≠ -1, lim n→∞ [(1² + 2² + ...... + n²) / (n+1)³] + [(na+1) + (na+2) + ...... + (na+n)] = 1/60. Then a =

1. 5
2. 7
3. -5/2
4. -7/2

Correct answer: 7

Solution

The value of a is 7, which is obtained by solving the given limit equation and simplifying the expression to find the value of a that satisfies the equation.

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