Please, conclude by the Bounded Convergence Theorem that the sequence

Ellie Castro

Ellie Castro

Answered question

2022-04-30

Please, conclude by the Bounded Convergence Theorem that the sequence is convergent n

Answer & Explanation

Trey Harrington

Trey Harrington

Beginner2022-05-01Added 10 answers

Let an=n
an=nen
anmin=n=0
For maximum
Put ddn[an]=0
ddn[nen]=0
enn(en)2=0
en(1n1)=0
en=0 n=1
n=1           en>0, not possible
anmax=1e
Thus, 0an1e
Given sequence is bounded
ddn[an]>0
en(1n)>0
1n>0
1>n
n<1
For n<1 sequence is decreasing, thus it is convergent

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?