Hi, Can someone help me with these calculus Limit questions.

Question 1:

Consider the function 1 f(I) = I + 2 Identify the correct limit evaluation for the derivative from the list below: O a. lim h wx2+ (h+4)x+4+ 2h O b. -1 lim h +072+ 2h OC 1 lim- h ,or2 + (h+4)x +4+ 2h O d. 1 lim hworth+2\fThe function 3x - 18 f(z) = 12 + 39x - 270 is discontinuous at one positive value of c. Find it. O a. x=-45 O b. x=51 O C. x=57 O d. x=6\f\fFind a and b so that the function Jars, I 7 is everywhere differentiable. O a. a=0.999, b=0.786 O b. a=-0.214, b=-0.00146 O c. a=-0.0102, b=-0.107 O d. a=-0.00146, b=-0.214Consider the function f(r) = v212 + 7. Identify the correct limit evaluation for the derivative from the list below: O a. lim V2x2 + 4hx + 2h2 +7+ v2x2 +7 O b. lim V2x2 + h +7-V2x2+7 O C. 4r lim h w\\2x24 h+ 7+v2x2+7 O d. lim h-+0 V2x2 + 2h2 + h +7+v212+7\fFind $a$ and $b$ such that x2 + ar - 2, r 14 is continuous everywhere and also that f(14) = 5. O a. a=-9.00, b=-189.00 O b. a=-13.50, b=-9.00 O c. a=-9.00, b=-13.50 O d. a=-189.00, b=-9.00