Why is there no limit?

[tsikitsaki]

How can i explain why there is no limit in this case?

 

[Deleted member 4993]

How can i explain why there is no limit in this case?
View attachment 25814

What have you tried? What are your thoughts?

 

[tsikitsaki]

I tried to explain by the fact cos is periodic, but honestly now i have no idea, i got so confused

 

[Deleted member 4993]

I tried to explain by the fact cos is periodic, but honestly now i have no idea, i got so confused

What does your textbook day about limit oscillating function?