Consider the function defined by

Determine whether the sequence converges or diverges, and if it converges find the limit.

Simplifying we have

Therefore,

Hence, the sequence converges and has limits .

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Stumbling Robot

A Fraction of a Dot
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Determine the convergence or divergence of *f(n) = (n*^{2} + 3n – 2) / (5n^{2})

Consider the function defined by

Determine whether the sequence converges or diverges, and if it converges find the limit.

Simplifying we have

Therefore,

Hence, the sequence converges and has limits .