Introduction to Calculus/Limits/Problems

An Informal Definition
Find the limit as x approaches 10 for the following statements by finding their values at 9, 9.9, 9.99, 10.01, 10.1, and 11. What values do they surround?
 * 1) $$x^2$$
 * 2) $$1/x$$
 * 3) $$x^3+4x+15$$
 * 4) $$(10-x)/(10-x)$$

Basic Theorems for Limit Operations

 * 1) Find the limit of f(x)+g(x) and f(x)/g(x) as x approaches 10 with the following functions
 * 2) *$$f(x) =x^2,\,\ g(x) =\sin x$$
 * 3) *$$f(x) =x^3-4x^2+13,\,\ g(x) =\log(x)$$