1) lim x-5 x² – 5x 2) lim x -5 x+6-1 x+5

Q: 2.x – 3 - Find lim x→-∞ 4 – V5x² – x – 2

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Q: 1. + x+1 lim -1 /-

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Q: What is the value of lim (1+ 4 )": п 4n O-1+i V2 O 1+i V2 O -1-i V2 1-i V2

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

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Q: 1 and lim xS3' x - 3 Evaluate lim xS3" x - 3

A: To evaluate limit:   and

Q: 2 |11x - 36x + 9| Determine lim х>3- 9х — 25х-6 9х -25х- 6

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Q: 1 1+ 2x lim x → 0- 1 3 + 2x

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Q: 8 x2 -73 x -70 lim x-10 X- 10 x3 - 64 lim X - 4 X- 4

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Q: 1. 2. 3. lim 2 tan () lim – () 2-16 (x²–16 x+2 lim х -3 х-2 x →4 2 4. 7. x2 -7x+12 5. lim x →4…

A: Limits are given, we have to the find the given limits

Q: 1. lim(2x – 5) x+4 2. lim(3x + 8) x-1 3. lim *+1 X-2 x-5

A: Disclaimer: Since you have posted multiple question, we will be solving first three. In case you…

Q: 1) lim (2x – 3) = 1 %3D x-2 2) lim|x| = 0 3) lim x2-9 6. х-з х-3 9 3

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Q: 1-x-x² (c) lim x+∞ 2x²-3x+1

A: The answer is given below:

Q: 22-4 Evaluate lim x→2 x-2 Submit

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Q: 1. Find a) lim x3 3-x b) lim- x3* 3-x ,c) lim- x+3 3-x

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: x+5 lim x→2 x´ – 4 x+5 lim x→2* x? – 4 x+5 lim 2 x→2 x² - 4

A: The given limits,limx→2-x+5x2-4limx→2+x+5x2-4limx→2x+5x2-4

Q: Part I x2-9 1. lim х>з х-3 -2. 2. lim х2+5х-6 X→1 х2—1 2x2-х-21 3. lim X→-3 9-х2

A: Note: students has mentioned only 3 question no so I solved accordingly

Q: In(x-2) 1- Find , limx→2 In(x² -4)

A: Answer and explanation is given below...

Q: 9. 1 2- 1 lim X-1 1 x2 - x2 - 2x + 1 3x + 2

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

Q: (a) lim n-0 2 – ni x² – 4 (b) lim x + 4 x² – 4 (c) lim x – 2

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Q: a. lim (3x - 5) x->-1 b.lim x² -9 xxxx²²-4x+3 2 x²-9 c.lim XX x² - 4x +3 2

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Q: 31. lim (x2- 1) 3 -2

A: Given

Q: Prove that lim x 2 = 4. x→ 2

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Q: 16 2x lim x2 – 4 x – 2 x→2 - -

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Q: Find the limit.

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Q: 13. lim -0 15. lim √x+4-2 x-1 x-1

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Q: (a) lim x² - x + 6 X2 x 2 x² + 2x - 3 x² (b) lim x - 6 x 3 x² - 2x - 3 x - 4 (c) lim x+4√√√x-2

A: a.limx→2x2-x+6x2+2x-3=4-2+64+4-3=85b.limx→3x2-x-6x2-2x-3limx→3x-3x+2x-3x+1limx→3x+2x+1=54

Q: 1 エ+1 3-エ lim エ→1 x - 1

A: Given limit   First we simplify the expression and then apply the limit

Q: O Find 2- X Lim X→2 2- 2X X #2 xY _ 2x² – 8 x² - 4 2 Find Lim x²- 2x²- 8 X->2 Lim 3X X→3 X- 3 -3 X…

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Q: 4ー npaメ lim メ-2

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Q: 4-x 1) lim x→2+ x² –3x+2

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Q: +64 1. lim (3x-x² + 2) = 6. lim X-3 X-4 4x+16A 2x2-x-3 x+1 2. lim 7. lim X-1 х+1

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: х-2 Determine lim x→2- 2-V4x-x²°

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Q: 8 lim x-2+ x²-4 x→2+ X x-21

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Q: 1 (B). Evaluate lim (3 – x) x-2 x→2

A: Given that  lim x to 2 (3-x)^(1/(x-2))

Q: In(x-2) 1- Find , limx→2 In(x²-4)

A: The given limit is, limx→2ln(x-2)ln(x2-4)

Q: 21) lim x-4/In x X-0+

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Q: 2 2 lim √x + 6x - √√x - 8x X-00

A: We have to evaluate limit in this question.

Q: 25. lim x'-8 -4 26. lim x - 2 1 27. lim x-2 x-4

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Q: 1 + (a) Lim X-1 'x+1, -2

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Q: 9. 4. lim X-3 x2 - 9

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: 1. Evaluate. ³-2x² +12 a) lim x--2 x² +1 b) lim -8x+7 x-7

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Q: x7-1 lim X-1 X-1

A: Given that, limx→1x7-1x-1

Q: 1. 3. 8x lim *0 5 х— 7 4х+1 lim 3 2 +2 x +x+ 27 lim 2 X-7 X-0 2 X - 4

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Q: 4- Prove that lim- tan 2x 5-lim 2(-3+x)²-18) x-0 X-0 2.

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Q: 1 4 lim X + 2* х-2 In(2x-3)

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Q: 1. lim ux-121 X-3

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Q: 2. Evaluate lim (5x - 2 x+3.

A: To evaluate the limit: limx→∞5x-2x+3 Solution: We know that, limx→afx-gx=limx→afx-limx→agx Using the…

Q: (5х+6)(х- 2) lim x→-2* (x-2)(x+2) X -

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Q: Exercises: Evaluate x2 – 1 - 1. lim 1- 2x 1 3 2x 2. lim x→2+ x – 2 х? — 4 - -

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Q: o Find Lim X-→2 2-12X 2- X X #2 @ Find Lim X→2 x* _ 2x² - 8 x - 4 | O Lim 3X X3 X- 3 -3 X ¢3

A: All question are of the indeterminate form( i.e. 0/0 form) We try to remove those term for which it…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: