Find the limit or indicate that it does not exist. lim sing it cos 6 it tan at k t- IL . . . Select the correct choice below and, if necessary, fill in the answer box in your choice. O A. lim sin a it cos it tan at k = ( + k t- IL (Type an exact answer, using it and radicals as needed.) O B. The limit does not exist and is not co or - co.Solve the following initial value problem for r as a function of t. der Differential equation: = 5eli- e-tj+ 273tk at 2 Initial conditions: r(0) = 8i + j + 6k dr = - 31 + 6j dt It = 0 r(t) = i+ (0 k