Question

Squeeze Theorem greatest integer function

Answer 1

what about them?

Answer 2

from \(-\pi \) to \(-\frac{\pi}{2}\) cosiene goes from \(-1\) to \(0\) so it would be identically \(-1\) on that interval

Answer 3

then on \(-\frac{\pi}{2}\) to \(0\) it goes from \(0\) to \(1\) so on that interval it would be \(0\)

Answer 4

etc

Answer 5

Might be fun to play here, the greatest integer function is sometimes called the ceiling function. https://www.desmos.com/calculator/fdipg03oxv

Answer 6

Do those funky brackets mean the least integer?

Answer 7

on the interval \(0\) to \(\frac{\pi}{2}\) it goes from \(1\) to \(0\) so it is 0 there as well

Answer 8

So if I were to draw one cosine it would be just one mountain

Answer 9

@empty i though greatest integer was floor

Answer 10

greatest integer less than
like \(\lfloor 2.4\rfloor=2\)

Answer 11

like that!..? haha i'm such an artist.