What are some helpful examples for solving limit problems using the squeeze law?

[samuel_lee4408]

Homework Statement

I really need help on these problems. If anyone can show me how to solve these problems, your help would be greatly appreciated. Thanks

1- lim x-> 0 sin(4/3x)

2- lim x-> 2- tan(pi/x)

3- limx->0 arctan(2x)

Homework Equations

The Attempt at a Solution

 

[Mindscrape]

Squeeeeeeze law. Some good examples are here

http://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/squeezedirectory/SqueezePrinciple.html