Use a calculator to complete the fol1owing tables. (Be sure your calculator is in degree mode.) Round all answers to four digits past the decimal point. If you have a graphing calculator with table-building capabilities, use it to construct the tables.

MATH 1220 Notes for Week #14 18 April 2016 ● Find lim sin(x. x→0 tan(x) ○ lim sin(x= lim ssin(x)lim sin(x)cos(= limcos(x) = 1 x→0 tan(x) x→0 cos(x) x→0 sin(x) x→0 ○ Recognize that the limit of the ratios of these functions near x = 0 is 1 because that exhibit the same characteristics (slope of 1 in this case) near x = 0 . ● Find the 3rd degree Taylor polynomial to f(x) = tan(x) near x = 0 ○ (0) f (0) = tan(0) = 0 y 0 0 (1) cos (0)+sin (0) 1 f (0) = (tan(0)) ′ = cos (0) = cos (0)= y 1 x 1!