Blumenfeld Calc
Home
Infinite Series
About
Contact
Aaron Blumenfeld
Sequences Quiz
Log In
Find the limit, if it exists, of $a_n = \dfrac{3^{n+2} + 3}{3^n + 5}$.
(a) $\dfrac{1}{9}$
(b) $\dfrac{1}{3}$
(c) $3$
(d) $9$
Find the $8$th term of $\{5n+2\}_{n=1}^\infty$.
(a) $42$
(b) $41$
(c) $47$
(d) $37$
Find $$\lim_{n \to \infty} \arctan{\sqrt{n+7e^n}}.$$
(a) $0$
(b) $\dfrac{\pi}{4}$
(c) $1$
(d) $\dfrac{\pi}{2}$
Find $$\lim_{n \to \infty} \dfrac{(n+1)(2n+1)}{n(n-1)}.$$
(a) $\infty$
(b) $0$
(c) $1$
(d) $2$
Is $a_n = n + \sin{n}$ bounded? What is $\lim_{n \to \infty} a_n$?
(a) Bounded between $-1$ and $\dfrac{\pi}{4}$
(b) Bounded between $0$ and $1$
(c) Unbounded, and $\lim_{n \to \infty} a_n = \infty$
(d) Unbounded, and $\lim_{n \to \infty} a_n = -\infty$
Infinite Series Main Page