1.2 Different Techniques on Solving Limits

12/15/2017

Lesson on understanding limits, and how to evaluate and solve for limits. Limits is defined as the function f(x) that becomes arbitrarily close to a unique number L as x approaches c from either sides, the limit of of f(x) as x approaches c is L. Evaluating and solving for limits can be done by substituting the values of c. Factoring is useful to further simplify the function. Graphing can be used to visualize the limits. 

  1. By Factoring Method
  2. By Using Conjugates of the Rational Function
  3. By Simplifying Complex Fractions

More Practice Excercises

 

  1. 00:23 1. Limit of ( x–4 ) / ( x^2 – 7x +12 ); x » 4
  2. 03:22 2. Limit of √ (x–6) – 1 / ( 7 – x ); x » 7
  3. 07:36 3. Limit of ( 1/4 + 1/x ) / ( 4 + x ); x » –4
  4. 11:03 4. Limit of √ (x + 3) – 1 / ( 2x^2 – 1 ); x » 1

Attachments

AP Calculus AB