A. Show your solution analytically. Find the limit of the algebraic functions if it exists. 1. lim (4x3 + 3x2 + 2x -5) 1-x-V1+x 2x+6 X-3 2. lim 4. lim x-+0 X x-+ +00 V2x2-6 3. lim x2-8x+16] 5. lim [x-31 x-4 x2-5x+4 X-+3- 2x-6 B. Show your solution analytically. Find the limit of the trigonometric functions if it exists. 1. lim sin 2x 3. lim tant 5. lim tan 3x x-0 sin 3x t-0 2t x-+0 X 3cos 2x x2 CSC 3x 2. ling 4. lim 6. lim 1+sin x x-0 3(1+cosx) x-0 3cotx