please solve and show work for questions

Evaluate each limit. 1) lim- 1 - cos (2x) x-+0 cos (3x) - 1 CO 2) lim X 3) lim- sin (2x) cos (x) - cos (3x) x-+0 sin (5x) 4) lim 5) lim sin (2x) 2.x2 (hint: rewrite as the product of 2 limits instead) 6) lim sin (2x)sin (x) xsin (3x) (Hint: rewrite as the product of 2 separate limits first) 7) lim 2xcos 8) lim -3xcos 1 *-00 X 2x 9) lim 10) lim sin (x) X--00 *-+00 COS X 11) lim + 2 12) lim 3xsin x r- 00 x- -10