If lim,→2 f(x) = 4 and lim, +2 g(x) = 7.Use %3D these facts and limit laws to evaluate lim, 2[3f(x) – g(x) – 1] x→2 | O 6 4 18 O -4

Q: 3. Find lim (x² + 3x – 18)/(x – 3)-

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Q: CONSIDER THE FOLLOWING FUNCTIONS. f22x+1 AiD gca)= xー1 a) DE TERMINE jG&) =f(x)• g(x) Lim…

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Q: If 3x - 4 s f(x) sx2 - 3x + 5 for x 2 0, find lim f(x). x-3

A: Given, 3x-4 ≤ fx ≤ x2-3x+5              for  x ≥ 0 We have to find limx→3fx

Q: lim xe-x

A: We have to evaluate the limit: limx→∞xe-x Rearranging the question using exponent rule a-m=1am,…

Q: Evaluate |x2-41 lim X-2 X- 0/0 O Does not exist

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Q: 6х2+1 2. Find lim X→0 V4x4+3x+1

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Q: If 2x - 2s f(x) sx² - 2x + 2 for x 2 0, find lim f(x). x-2

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Q: Find the limit

A: We can solve this limit using direct substitution. i.e. putting the value of x =1 in the given…

Q: 3 4x 7 lim x00 7x2+8

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Q: Evaluate the limit: x + 2 lim х — — 2 х2+ 3х + 2 ||

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Q: Evaluate: * х — 5 lim х-5 Vx+4 – 3

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Q: f(2 + h) – f(2) Find lim if f(x) = x + 7. h h→0 f(2 + h) – f(2) lim | (Simplify your answer.) h h→0

A: Here I am attaching image so that you understand each and every step.

Q: 19. Evaluate lim (x³ + 2x2 – 3x – 4). x-1

A: Evaluate limx→-1(x3+2x2-3x-4)

Q: ()- (T I-1 lim 2x-1 |47–1

A: We have to solve

Q: If f(x) = 5x – 4, then f(x) – f(-3) = 5. x +3 lim I-3 Select one: O True O False

A: Answer is true.  Using L hopital rule.

Q: Find 2-Vx2-5 lim X-1 x+3

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Q: 2x – -12x + 40 3x2 + x – 14 14) lím エ→2

A: We will find the value of the limit as following.

Q: Find the limits

A: Given  limx→-3x2 - 13

Q: x-2 22. Evaluate lim x+2 Vx2-4

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Q: a) Evaluate V9x(x² – 3x +2) lim (3х — 3)

A: To find the limit:

Q: Evaluate lim h→0 1 2 5 (x+h) ² 2h 1 5x²

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Q: Find:

A: Apply the limits. limx→1x2+2x-3x-1=12+21-31-1=1+2-30=00   Applying the limits gives 00 form.

Q: Vx+15 - 2 is The value of the limit lim x--11 x+11

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Q: Evaluate the limit 2x + 4 lim I→ 0 3x2 - 7x + 7

A: Given