Wetzel

Math 140

1.3 – Evaluating Limits Analytically

Some Properties of Limits –

            Constant Rule:                                where b and c are real numbers

                        Ex.:     

                        1.) 

            Substitution Rule:                 where f(c) exists

                        Ex:

                        2.) 

                        3.)                

Some Other Properties of Limits –

                                    Let         and 

            Scalar multiple:

            Sum or difference:        

            Product:                      

            Quotient:                                            provided

            Power:                        

Two Special Trig. Limits –

                                                   and                  

            Ex:

            4.) 

            5.) 

            6.) 

HW: p.67 #5-21odd, 27-31odd, 37, 39, 49-53odd, 67-71odd