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Numerade Educator

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Problem 1 Easy Difficulty

(a) What is a sequence?
(b) What does it mean to say that $ \lim_{n \to \infty} a_n = 8? $
(c) What does it mean to say that $ \lim_{n \to \infty} a_n = \infty? $

Answer

a. A sequence is an ordered list of numbers. It can also be defined as a function whose domain is the set of positive integers.
b. The terms $a_{n}$ approach 8 as $n$ becomes large. In fact, we can make $a_{n}$ as close to 8 as we like by taking $n$ sufficiently large.
c. The terms $a_{n}$ become large as $n$ becomes large. In fact, we can make $a_{n}$ as large as we like by taking $n$ sufficiently large.

Discussion

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Nhon M.

October 5, 2017

Nhon M.

October 5, 2017

hi

Nhon M.

October 5, 2017

RT

Ruth T.

March 11, 2020

CA

Chenee A.

July 6, 2021

What is a convergent sequence? Give tqo examples

CA

Chenee A.

July 6, 2021

What is a convergent sequence? Give two examples

Video Transcript

a sequence. It is an order collection of numbers where were allowed tohave repeats of the same numbers. So ordered collection of numbers where repeats are allowed. What does it mean to say that limit as N goes to infinity of and is equal to eight? It means that as in gets bigger and gets closer and closer to eight. What does it mean to say that limiters and goes to infinity of an equals infinity? That means that as in gets larger and gets larger without found, you could make it as large as you want.