Some of these already have answers. Can you just give me a clear explanation without using cursive?

9. Solve each equation/inequality for r. (a) log( + 1) + log(x - 2) =1. Answer: x = 4 (b) ext5 > 1. Answer: > > -5 10. Without using a calculator, evaluate: tan ( sin-1 1 Answer: 2V/2 11. Evaluate the following limits, if they exist. (Do not use L'Hospital rule) Vh2 + 15 - Vh + 15 (a) Answer: 0 h-+0 Vh +3 -2 (b) lim Vh2 + 15 - Vh + 15 Answer: 1/8 h-+1 h - 1 2- 3.r + 2 (c) lim c-2 2x2 - 3x - 2 Answer: 1/5 (h + 4)2 - 16 (d) lim Answer: 8 h-+0 h 3.r2 + 10 (e) lim Answer: 2 x2 + 2x + 1 (f) lim Ja - 1 1x2 - 1 Answer: LIL= -1/2 and RHL-1/2, so the limit DNE (g) lim(28 + x2)ecos(#1) Answer: 0 using the squeeze theorem -+0 (h) lim sin (In r) Answer: 0 using the squeeze theorem Inr 4x2 - x +1 -2x (i) lim 3.x + 2 Answer: -4/3 5x2 - 3r + 1 (i) lim 9.x2 + 2 Answer: 5/9 (k) lim v16x2 + 7x - 4r Answer:12. Find the horizontal asymptote(s) and vertical asymptote(s) of the following curves. x2 - 4r + 4 (a) y= Answer: HA: y =1, VA: x = -7 x2 + 5x - 14 2e2 + e- 21. (b) y = 2e2x - 3e-2x Answer: HA: y = 1, y = -3, VA: x =- In(1.5) 13. Find the value(s) of c that makes the function continuous on R. f(x) = if x >1 Answer: c = 4, -2