Blumenfeld Calc
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Sequences Quiz
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Find $$\lim_{n \to \infty} 3^{2/n}.$$
(a) $0$
(b) $1$
(c) $3$
(d) $\infty$
Find $$\lim_{n \to \infty} \dfrac{n^2}{n^2 - 1}.$$
(a) $1$
(b) $\dfrac{1}{2}$
(c) $0$
(d) $\infty$
Find $$\lim_{n \to \infty} \dfrac{\ln{n}}{n}.$$
(a) $0$
(b) $1$
(c) $\infty$
(d) $-\infty$
Does $a_n = \sqrt{\dfrac{n+1}{9n+1}}$ converge or diverge? If it converges, find the limit.
(a) Converges to $\dfrac{1}{9}$
(b) Converges to $\dfrac{1}{3}$
(c) Converges to $\dfrac{1}{\sqrt{3}}$
(d) Diverges
Find the limit, if it exists, of $a_n = \left(\dfrac{n+1}{n}\right)^n$.
(a) $0$
(b) $x$
(c) $\infty$
(d) $e$
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