Please help me prove these limits:

1. $\displaystyle lim((1/(2+x)-(1/2))/x)$as x approaches 0

2. $\displaystyle lim(sin(2x)/x)$ as x appproaches 0

Thanks for your help.

I apologize if it is hard to read, but how do you make it easier to read? Is there a program that helps you do that, or do you just use the math key so much that you got used to writing in that "language."