Introduction to Limits/Problems

< Introduction to Limits

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
    • f(x) =x^2,\,\ g(x) =\sin x
    • f(x) =x^3-4x^2+13,\,\ g(x) =\log(x)
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