Squeezing theorem (sandwich theorem)
This one is called squeezing theorem or sandwich theorem.
A persuasive method of proof for a limit using two obvious functions.
Example
You can make a graph of the curve in question. It’s the slope at point 0 of sine curve. Intuitively you can see already the answer. For the proof, you use the squeezing theorem.
S1 : Area of triangle ADO
S2 : Area of sector ACO
S3 : Area of triangle BCO
S1 ≤ S2 ≤ S3
The sandwich theorem will not be used for this problem, but, as this one appears always together with the preceding equation, we study it here. From the graph, you can see already the answer.
Two limit values to memorize.
