Use tables of values to make educated guesses for each of the limits in Exercises 39–52. 39. lim (x2 + x+ 1) 40. lim (1 – 3x +x²) x+2- X3+ 1 41. lim 1+2 x2 – 4 1 42. lim x1 1- x х — 3 х — 5 43. lim x-3 (x2 – 2)(x – 3) 44. lim x+5 x2 – 25 3 45. lim X+2 4 - 2* 2x 46. lim (Зe + 1) X00 Зх + 1 1+ 2x 47. lim X-00 1- r 48. lim X00 Y -1 x+1 1 + 2x +1 1 49. lim x-0 x2 - 1 50. lim (1+ X00 51. lim sinx 52. lim sin x00

Q: (5x - 4)² 1) Let f(x) (9x + 16)² The limit as x approaches infinity is

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: 3x lim x→0 x2 + 2x

A:

Q: 7х + 12 lim x→3 х — 3

A:

Q: 8. lim x 0 √x²+4-2 x2

A:

Q: 29. lim (25t2 + 2 – 5t)

A: Given:          limt→∞25t2+2-5t Rationalize the expression…

Q: In Exercises 67–70, use the following function.

A:

Q: 80 10x +0.5x4 8118 50+20x6x3 b) lim

A:

Q: ) lim (Vx+3 +Vx) 14

A:

Q: 5x - 1 b) lim Z-+0+ 10z

A: We have to find

Q: 74 t4 - 1 lim t→l t³ – 1

A:

Q: 3 4. lim 2

A:

Q: 1) The graph of a function f with domain (-5, 5) is given in the figure below. 4 3 5 -4 -3 3 4 -2 -3…

A: a) You can see that, the graph of the function f goes -2 units below the x-axis at x=-2. Thus,f-2=-2

Q: 50. lim I +1

A: The given expression is limx→∞xx+1x. The logarithm and exponential function are inverses of each…

Q: x-3 lim Xx2 - 2x -3,

A: x2-2x-3=x2-3x+x-3        =x(x-3)+1(x-3)        =(x-3)(x+1)

Q: Also, could you please explain how the new limits are formed?

A: Step 1:Step 2:Step 3: Step 4:

Q: x 3

A:

Q: 3.3) lim (1+ 3x2

A: