In Exercises 4762, find the determinant of the matrix. Expand by cofactors using the row or column that appears to make the computations easiest. 32163 20000 4102513411 52000

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!