Example 17: find x -1 lim %3D (x-1)Vx² +2x+3

Q: х+4 a) Compute lim X3 (x-5)(x-3)

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Q: 2x*-3x+2x2-x+1 lim -6x-x2+x+2 1 3 O O

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Q: Problem 4 (a) 5x-3 – 4 (i) Lim- x- 2x-2 +9 (х — 3)2 (ii) Lim X0 x2 7- 2x – 3

A: Hey, since there are multiple questions sub part are posted, we will answer first question sub part.…

Q: Evalute the lim (6x° + 4x'-x+ 5x>x) ーメ+

A: Here; f(x)=6x9+4x7-x5+5x3-x now limx→∞f(x)=limx→∞(6x9+4x7-x5+5x3-x)=limx→∞(6x9+4x7-x5+5x3-x)

Q: figure 1.1.3 10 2. 10 1. -2 -3 -5 lim f(x) = x→-8+ -6 1 -3 -2

A: the function is shown in graph to findlimx→-8+f(x)

Q: -5x° + x* + 2 – 5x° + x* (a) lim 3x +4x' +1 6. 1/3 X. - (b) lim x>1 x² - 1

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Q: x2-4 b) lim (5p) X-2 x-2

A: We will factorise the numerator first

Q: b. Find lim (xv (xVx²+1-x²)

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Q: In the below graph (figure 1.1.3), figure 1.1.3 10 -2 3- -4- -s lim f(x) = x-4+ %3D -3 O 6 1 -2

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Q: 1-x-x² (c) lim x+∞ 2x²-3x+1

A: The answer is given below:

Q: A) Vx2 +8-3 lim x-1 x+1

A: By using l'Hospital's rule we solve the given problem as follows :

Q: Find the limt lim e - x メ→の e-メ

A: Evaluate the limit  limx→∞ ex-x2ex-x

Q: Find the limnit L. X - 3 1. lim X4 X- 4

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Q: Vx+11-4 (b) lim- x- 5 X-5

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Q: Considered the graph of Function a. -2 a. lim a (x) x--2- Choose

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Q: 1. 8x – 27 lim x 2x- 3

A: Here we have to evaluate the following limits,  1)

Q: 1. Evaluate. x'- 2x +12 a) lim x² +1 x² -8x + 7 b) lim- x-7

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 5x"+x lim メ→ -0 -8

A: To evaluate: limx→-∞5x4+xx2-8

Q: Part I x² -9 1. lim х>з х-3

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Q: 1 b. lim ,5 x-0

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Q: 1 limx-0- (x 8 %3D x2

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Q: et-1 - 1 (b) lim x1 x2 - 1

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Q: 1. Let f(x) = lim 1-0 7x3 + 3x² °

A: The given function is: f(x)=limx→0x27x3+3x2

Q: b. limx-3= In(x-2) %3D X-3

A:

Q: (a) lim 1+ x2

A: Solving the problem by obtaining the limit.

Q: Find the limits

A: To evaluate the limit: lim1x2-4 (a). When x→2+. Evaluating the limit. limx→2+1x2-4=12+2-4=10+=∞…

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

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Q: 10 a. lim -3-2 2x+1 b. lim 2 x-3

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Q: x³ – x² – 5x – 2 lim - (x + 1)² X→-1

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Q: 27+x- 5 Compute lim II-2 x+2

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Q: 9x +1 lim O-ズ X-1

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Q: - lim V12 - 31-3

A: When limit is of the form 00 or ∞∞, then L-Hospital rule is used. In this rule, we take the…

Q: Ifp(x)=x2-2x-3 and q(x)=x² - 1, then lim 3p(x) X +1 9(x)

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Q: 4ー npaメ lim メ-2

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Q: eim 2メー5 メ4 -2 z lim Vx+4-1-x-2 メ→ メ+3 lim 2-X Z-メ 24メ

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: 1-Vx-6 lim X-7

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Q: In the below graph (figure 1.1.3), figure 1.1.3 10 -2 4 -1 -2 -3 lim f(x) = x→-4+ in

A: We can use the concept of graphical analysis in order to solve the given problem.

Q: limd x²-1 = X- T2+*]

A: Given questions:           Question 1:                                     limx→1+x2-1=?…

Q: 2. x+3-16-11x-x ² Lim X-1 GAMA

A: as per our guidelines, I m solving only one question, please resubmit other questions To find1. lim…

Q: 1 1 Find the limit lim *+5 8 x→3 x-3

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Q: 4x-x2 lim- x-4 X-Vx 12 O 16 O 11 O 13 O السؤال 7

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Q: 1. lim(x+2x-3)

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: statewhether it approaches +c (a) lim In(4x + 6) [1] x-0

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: 2x a. lim x-+3" X - 3

A: limit

Q: tind tht vilut tt HHt H| 可im ). lim. メーナメ-2 X-70 メ X-71 メー1 b lim K2 -16) 13x+リx-4 X-74 X-4…

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Q: 3. Evaluate the lim(2x – 7). x-4 а. lim(2x — 7) %3D 2 x-4 b. lim(2x – 7) = 1 с. lim(2x - 7) %3D7 x-4…

A: Given statement, The limit of a function is the value it approaches as the value of x approaches a…

Q: a) lim 3x + x2 x→1

A: We are asked to find the limit.

Q: 2. Complete the table and use it to find lim numerically. x-2 x -2x-8 -2 x² +2x x² - 2x-8 x² +2x lim…

A: Explanation and solution is given below....

Q: x3-7x2 +10x Which shows that the lim is an indeterminate form? x-2 x2+x-6 x3-7x2+10x lim x→2 x2+x-6…

A: