More Mixed Limits. Evaluate the limit, if it exists.
(a) Find the limit as x approaches infinity of sin(4x+2).
(b) Find the limit as x approaches -1 of (x+1)/(x²-x-2).
(c) Find the limit as x approaches 3 of (x²+3x+4)/(x+3).
(d) Find the limit as x approaches 0 of tan(7x)cosec(3x).