Is (2n+3)/(4n+5) a Convergent Series?

In summary, the conversation discusses the convergence of a series and the limit of a sequence. It also touches on the topic of language translation and a country's recent events that have caused hatred towards its people.
  • #1
m_s_a
88
0

Homework Statement


Theory:
{an} is Convegent series then lim {an}=0
O.K. But let {an}=(2n+3)/(4n+5) is Convegent series and lim an=1/2


Homework Equations


Elucidation for this look wanted



The Attempt at a Solution

 
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  • #2
Hi m_s_a! :smile:

I think they mean if ∑{an} is Convegent series then lim {an}=0. :smile:
 
  • #3
tiny-tim said:
Hi m_s_a! :smile:

I think they mean if ∑{an} is Convegent series then lim {an}=0. :smile:

Hi _>inf :biggrin:
:tongue:Last answer waits
please wait whith me :rofl:
What saw you in how the English learns correctly and in extremely short period
 
  • #4
m_s_a said:
Hi _>inf :biggrin:
:tongue:Last answer waits
please wait whith me :rofl:
What saw you in how the English learns correctly and in extremely short period

Hi [tex]\aleph_{\aleph_0}[/tex] ! :biggrin: :biggrin:

Reading your words is always a pleasure! :approve:

Even though I have no idea what you mean! :rofl:

What language are you translating from? :smile:
 
  • #5
Tell me what is a state that hates people who belong to it? :wink:
 
  • #6
tiny-tim said:
What language are you translating from? :smile:

Japanese to English translations sounds so much like this. But, I would also love to know.

O.K. But let {an}=(2n+3)/(4n+5) is Convegent series and lim an=1/2

{an}=(2n+3)/(4n+5) is not convergent if you saying it is or someone said that.
 
  • #7
m_s_a said:

Homework Statement


Theory:
{an} is Convegent series then lim {an}=0
O.K. But let {an}=(2n+3)/(4n+5) is Convegent series and lim an=1/2
"Series" (in mathematics, not general English) means specifically a "sum" while "sequence" does not. (2n+3)/(4n+5) is a sequence that converges to 1/2. The series
[tex]\Sum_{n=0}^\infty \frac{2n+3}{4n+5}[/tex]
does NOT converge.

Tell me what is a state that hates people who belong to it?
From recent events I am tempted to say Myanmar.
 
  • #8
rootX said:
Japanese to English translations sounds so much like this. But, I would also love to know.



{an}=(2n+3)/(4n+5) is not convergent if you saying it is or someone said that.

We know love
Ten years ago you appreciate and respected by States
The exchange of the same feeling
Because the person do something ?
Changed the image of an entire people
Why? Why?
We hate that person like you.
Believe me
How We See previous How?
I said: ball or hatred
Because we are not enemies of anyone
But now everyone Why do they hate us?
We wronged wronged wronged.
 
  • #9
HallsofIvy said:
"Series" (in mathematics, not general English) means specifically a "sum" while "sequence" does not. (2n+3)/(4n+5) is a sequence that converges to 1/2. The series
[tex]\Sum_{n=0}^\infty \frac{2n+3}{4n+5}[/tex]
does NOT converge.


From recent events I am tempted to say Myanmar.

Is circulated to all people
Contrary to our nation
Can not enter the country before the recent events
Do not agree with the work done by
Not us
 
  • #10
Sorry :smile:
 

What is the equation for convergence of (2n+3)/(4n+5)?

The equation for convergence of (2n+3)/(4n+5) is lim(n→∞) (2n+3)/(4n+5).

What does the value of the limit represent?

The value of the limit represents the value towards which the sequence approaches as n becomes increasingly large.

How can I determine if the sequence converges?

To determine if the sequence converges, you can evaluate the limit of the sequence as n approaches infinity. If the limit is a finite number, then the sequence converges. If the limit is infinity or negative infinity, then the sequence diverges.

What is the method for finding the limit of a sequence?

The method for finding the limit of a sequence is to simplify the equation and then substitute ∞ for n. If the resulting expression is indeterminate (e.g. 0/0 or ∞/∞), you can use techniques such as L'Hôpital's rule or the squeeze theorem to evaluate the limit.

What is the significance of the convergence of a sequence?

The convergence of a sequence is significant because it tells us whether the terms in the sequence will eventually become closer and closer to a specific value or if they will continue to fluctuate indefinitely. This information is important in many mathematical and scientific applications.

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