evrimesa evrimesa
  • 16-07-2021
  • Mathematics
contestada

Since lim n→ infinity (.............) = ...........

Since lim n infinity class=

Respuesta :

LammettHash
LammettHash LammettHash
  • 16-07-2021

Notice that

[tex]\dfrac{4n+1}{8n+2}=\dfrac{4n+1}{2(4n+1)}=\dfrac12[/tex]

So by the root test,

[tex]\displaystyle\lim_{n\to\infty}\sqrt[n]{\left|\left(\frac12\right)^{2n}\right|} = \frac14 < 1[/tex]

and so the series converges (absolutely).

Answer Link

Otras preguntas

In order to enroll in most schools, students must be vaccinated against certain viral diseases, such as mumps. Even with these vaccinations, many student
Which of the following is TRUE when comparing purchasing home fitness equipment to joining a fitness center? A. Joining a fitness center is a bigger commitmen
What factors helped prompt the United States to join the war for the Allies?
What are some ways totalitarian rulers keep their power?
What is 7k+5=-37 equations answer please answer with step also show the steps
How did the availability of cheap books spread learning?
What compound makes up carbohydrates?
What was one important right granted in the Magna Carta?
The first item in a Works Cited entry is normally the
Subtract 5x^2 + 2x - 11 from 3x^2 + 8x - 7. Express the result as a trinomial.