I'm self-studying limits right now,
and I don't understand what this is.

Theorem: limt→0sint/t=1

Theorem: limt→0(1−cost)/t=0

Question

I'm self-studying limits right now, 
and I don't understand what this is. 

Theorem: limt→0sint/t=1

Theorem: limt→0(1−cost)/t=0

ganeshie8 · Answer

May I suggest you watch this video first : https://youtu.be/kCPVBl953eY?t=889

ganeshie8 · Answer

start watching from 15th minute

jh99 · Answer

Interesting. I've watched for 5 minutes. I don't even exactly know the definition of these trigonometric functions such as sin. How can a circle be represented in a graph? The formation is complicated to understand. This is not even related to my original question lol

zepdrix · Answer

Hehe, MIT videos are great :)
Here is another simple way to think of it.
You're familiar with what the sine function looks like, yes?|dw:1466754454689:dw|

jh99 · Answer

Yes!

zepdrix · Answer

If we were to zoom way way close in here,
this is what it would look like,|dw:1466754547537:dw|it looks like the straight line y=x