y ido1 f(2) = 4 lim f(x) = x 2- 3 2 lim f(x) = x2+ lim f(x) = %3D -2 -1 1 2 3 45 x-2 -2+ lim f(x) = %3D lim f(x) = %3D x-2+

Q: (х-а) 2. lim Vx-Va X→a

A:

Q: Give precise definitions of the following statements.

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Q: a) lim -Vx+7 2-x x-2 b) lim x+1 Show your work

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Q: 10x5/3 – x1/3 +8 - (c) lim x→00 x8/5 + 2x + 15/x Σ 10Va – 13x + 2 (d) lim x-0 5x + 15x2/3 Σ || – 12

A: We have to solve

Q: c. lim f(x) X→-2+ d. lim f(x) X-0

A:

Q: x' +4 a. lim X-4 x-2 %3D x² -1 b. lim- xl x' -1 Vx - Ja lim- с. х —а

A: topic - limits

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A:

Q: 5f{x) (d) lim x-1 g(x) 9(x) (e) lim x1 h(x) g(x)h(x) f(x) (f) lim

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Q: x-7 Evaluate lim- +1 Jx-3 - 2 Vx- 3 –

A: Consider the given fraction: limx→7x−7x−3−2Rationalize the…

Q: f(x) – 3 If lim = 1, find lim f(x). X- 2 X→7 x→7

A:

Q: y 3+ 2- 1+ 1 2 3 4 lim_ f(x) lim, f(x) x→1.5+ lim_f(x) x→1.5- x→1.5 lim f(x) lim f(x) X→2+ lim f (x)…

A: According to Bartelby guidelines we can only solve three subparts. Right and left hand limitsIf x…

Q: V4 + x – 2 lim x→0

A: To evaluate the given limit

Q: х3-x2-5х-3 (х+1)* (iii) lim x-1

A:

Q: Vx-2 11. lim- x→4 4-x 1 12. lim 1 3 13. lim x-→2-x-2 x² –4 x-1 14. lim |2x – x² –1

A: According to bartleby rule I answered first 4 questions

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: g(x) lim -2 h(x)

A: Please refer to the image below

Q: y do1 f(2) = %3D 4 lim f(x)= x 2- 2 leio lim f(x) = x2+ 十 x 1 2 3 4 5 lim f(x) = -2 -1 x2 -2+ lim…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: # a) lim f(x) z-0- c) lim f(x) I-0 4 -3 4 5 b) lim f(x) +0+-z 150- d) f(0)

A: topic - limits

Q: x³, x 4 b) f(x) = i. lim f(x) X-1+ ii. lim f(x) X+4 iii. lim f(x) x4+

A: To graph the given function first we find the function values at some points in the domain.Then plot…

Q: 2x -5x +2 3. Calculate the limit lim .2 x-2x X→2 X -3x +4

A: Limit of the function f(x) as x approaches  to a means as x approaches to a from left side and right…

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A:

Q: 3x2 (x- 1) .2, (а) lim I00 5x(2x2 +1) 2 - x3 (b) lim 1o x2 - 2x + 5 | x - 2 (c) lim x→-0 x4 –2x³ +1

A: As per Bartleby guidelines rule I am answering only first three questions. Evaluate:…

Q: Evaluate the following limits.

A: If any function is continuous within a given interval, then its limit must exist in that interval.…

Q: (b) lim (1+ x)* x→0+

A: Given

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A:

Q: valuate 10-Vx a. lim x→100 x-100 b. lim (-2x+4)²–4 1 c. lim *+2 5 x→3 x-3 X-3 3-x

A: Given that:

Q: y 2 -4 -2 2 4 lim h(x) x--3 lim h(x) -3* O lim h(x) X--3

A:

Q: a) lim f(x) = x-5 b) lim f(x) = c) lim f(x) = x-5 d) lim f(x) = X-8 e) lim f(x) = X-8* ) lim f(x) =…

A:

Q: x² -x² - 5x – 2 (x +1)² M + x- 1 • lim メー-1 X • lim

A:

Q: x+5, x<1 f(x)= - x+7, x21 19) a. lim f(x) b. lim f(x) c. lim f(x) x1* (2 15

A:

Q: 1. lim[f (x) — 4g (х)] х+1

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

Q: x - 4x-12 a. lim X--2 x+2 V16-x-4 b. lim X-0

A:

Q: aterminate form, use factor 2-1 1. lim X14x+4 +2x-15 2. lim I-3 x+4x-21 x+x-20 3. lim X-4 r-64

A:

Q: 1-Vx-6 lim X-7

A:

Q: x² – 4x lim +-1 г2 — 3х — 4 I-1 x

A: Limit does not exist Explanation is given below...

Q: a. lim f(x) b. lim f(x) x→4+ c. lim f (x) 1. x-4 X→4-

A: Given query is to find indicated limits.

Q: V2x(x – 1) lim |x - 1|

A: First open the modulus function and then evolution the limit.

Q: x- 2 5. Evaluate lim- 1→2 Jx+2 - 2 Solution:

A:

Q: Jx-2 %3D F(x) x²+x-6 Does lim F(x) exist? x-2

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Q: 2x -x+3 compute lim ∞ x- 2r +5

A: To compute the limit:  limx→∞2x2-x+3x2-2x+5 Solution: We know that, 1∞=0 Taking out x2 from both…

Q: x3 – 11x lim x→0 x V5x+11

A: Consider the limit limx→0x3−11xx5x+11

Q: x² yey lim(x,y)→(0,0) x4 + x + y²

A: To evaluate the following limit.limx, y→0, 0 x2yeyx4+x+y4

Q: (x² - 3) 7. Build a table to estimate lim sin x

A:

Q: 3 - m3 x + 2 2 . lim lim x-2 x + 2'x2 – x – 6 A- m4 lim as x approaches m 1. LO

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

Q: 32. (a) f(-2) (b) lim f(x) X→-2 3 (c) f(0) 2 (d) lim f(x) x→0 (e) f(2) -2 -1 1 2 3 4 5 -2+ (f) lim…

A:

Q: 2 V - 3 lim x – x→0 9 – 5 x 3

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Q: V2x (x- 1) X lim |x - | x→1*

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Q: 3 - Vx+4 12. lim X-5 х-5

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Q: f(2) = 1, f(-1) = 0, lim f(x) = 0, lim f(x) = o0, %3D %3D lim f(x) -00, and lim f(x) = 1 =

A:

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…

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