Evaluate the following limits when they exist. tanx-x 1. limx-0 2. limx-o(cscx - cotx) 3. limx-0(1+ -)bx or limx-. (1 + -)bx [Only one of them] x x 4. limx-0+ ex- COS X 5. lim," 2 (x-75)3 dx Find - by implicit differentiation. 6. sin(xy) = 1 + cosy 7. tan 1(x2y) = x+xy2 8. cos(xy) = sin (x + y)