Have you heard of the "squeeze theorem"? No? Well, you'll find that it makes a lot of sense.And then he proceeded to draw a graph that looked a lot like this:
And an explanation that looked a lot like this:
cannot be ascertained through the limit law
does not exist.
However, by the definition of the sine function,
It follows that
Since , by the squeeze theorem, must also be 0.
(both graph and example taken from Wikipedia)
(ok, to be fair, the theorem actually does make intuitive sense as a theorem, but it is really hard to think about demonstrating and "calculating")
My poor 30 year old brain is hurting...I'm glad I had time for a run today. And hey, who needs weight training when I had all this snow to shovel?
Hope you are all having a great week- does anyone have any fun plans for the weekend?