Question

1. (24 pts.) For which integer values of the constant k does the sequence {a1, a2,...

1. (24 pts.) For which integer values of the constant k does the sequence {a1, a2, a3, . . .} defined by

an = (5n^k + 3)/(3n^k + 5)

converge? For those values of k, compute the limit of the sequence {a1, a2, a3, . . .}.

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