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: 16. lim x+3-3

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Q: 1 7. lim 3x8 (x5+ (2х-3)3 х-+00

A: To evaluate the given limit. limx→+∞1x5+2x-333-3x8

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Q: 8. lim x 0 √x²+4-2 x2

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Q: 2+x X-2

A: We have to evaluate the limit: limx→2-2+x We know  is representing for greatest integer function or…

Q: 27 44. Find lim x3 x - 3

A: If given a limit limx→af(x)g(x) results in an indeterminate 00 form. Then the L'hospital's rule can…

Q: 29. lim (25t2 + 2 – 5t)

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Q: What is the limit of 3x4 as x approaches ? 1 2 12 evaluated 2 3 16 0 1 16

A: Given problem:- limx→12 3x4

Q: 12. lim X00 *A + x

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

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

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

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Q: 3 4. lim 2

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Q: Find the limits in Exercise

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Q: csc 2x lim *+0 csc 3x O O O O 23 N|C I N|W 3 2 23

A: Topic - limits We are given, limx→0-csc 2xcsc 3xwe know thatlimx→0sin xx=1anscsc x =1sin x

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: 2х -1 The value of lim, is 2x2 +1 1 x→-- 2 a) 3 2 b) - 4 | d) 3. 4 3. 3.

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Q: If f(x) = x² ++2 then lim 3f(x)-3f(2)-2 a) 8. b) 10 d) 12 Boş bırak

A: Given: The given function is f(x)=x2+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:

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Q: x²-16 -4 x +4 - ...lim تساوي

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Q: 2x3 6) lim- 3--3X²-4

A: we need to evaluate the expression limx→∞2x33x2-4 limx→∞2x33x2-4=2limx→∞x33x2-4