Question

Do periodic functions converge or diverge?

Answer 1

I just need a yes or a no

Answer 2

Look at a graph of sinx. Do you see it converge or diverging?

Answer 3

diverge right

Answer 4

...look harder. Does sinx converge or diverge?

Answer 5

Do you know what converge and diverge mean?

Answer 6

ok but what about periodic funtions that approach 0

Answer 7

yes that converge approaches a number until it reaches it

Answer 8

diverge goes away to infinity right

Answer 9

Generally with convergence or divergence you're looking to see if the graph converges to a point, or diverges away, as x approaches infinity. Again, look at a sinx curve... do you see that happening?

Answer 10

it oscillates

Answer 11

so its kinda both isnt it

Answer 12

Well if it oscillates, how is that both? It's not converging or diverging.

Answer 13

it goes on until infinity then?

Answer 14

Well it oscillates forever. So never converges or diverges.

Answer 15

oh so its niether?

Answer 16

so does that mean all periodic functions are niether?

Answer 17

Yep. If they don't converge or diverge, then they do neither.

Answer 18

ok cool so their are actually 3 categories converge, diverge, and neither

Answer 19

Eg https://www.google.com/search?q=x*sin(x)%2C+sin(x)%2Fx%2C+sin(x)&oq=x*sin(x)%2C+sin(x)%2Fx%2C+sin(x)&aqs=chrome..69i57.3700j0&sourceid=chrome&ie=UTF-8

x*sinx diverges, sinx/x converges, sinx oscillates

Answer 20

Thank You very much!

Answer 21

actually i have another problem that i am stuck on now

Answer 22

This is the last one I have

Answer 23

Post it as a new question. Questions are easier to answer with less clutter.

Answer 24

ok i will thank you