xS +x – 2 53. lim x+1* x2 +x –2

Q: [x2+3x-1 a. lim 1 6 b. lim X+2 Lx-2 x2+2x-8 E. lim - h-0 h x+h Vx+h-Vx d. lim x >0 h-0 h

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

Q: Solution of lim (Vx² +1 – x) is ... x→ 00 Tentukan lim (vx² + 1 – x) x→00 1. O 1 2. O infinite 3. O…

A:

Q: ー2 a) lim X >6 (x-6)3 b) lim E) ゼ+t

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

Q: с — 2 а. x→0 x5 – 43 х — 2 lim- b. lim x→2 x5 - 4x3 х — 2 С. lim x→-2 x5 4x3

A: a) limx→0x-2x5-4x3 Left Hand limit- The function decreases without bound. so, limx→0-x-2x5-4x3=-∞

Q: 2х + x 1. lim

A: Consider the limit  limx→02x+xx

Q: 1 (ii) lim z-»b b - x

A: The given limit is limx→b-1b-x

Q: х2 +x — 2 Vx + 4 – 2 - - (а) lim x→-2 (b) lim x + 2 y y 2 1.00 1 0.75 0.50 -3 -2 - 1 1 2 3 -3 -4 -3…

A: (a)limx→-2x2+x-2x+2blimx→0x+4-2x

Q: 4 (11) lim f(x) = X-0 (12) lim f(x): %3D |-10 -8 -6 -4 4 8 10 X +0 -2 -4

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: Find the limits in Exercise

A: The limit x→a+ implies x  approaches a from the right. The limit x→a- implies x  approaches a from…

Q: x-5 s x2 - 25 x² + 3x- 10 x + 5 19. lim 21. lim 2 +t-2 23. lim -2r - 4 25. lim X-2 x +2r? 27. lim…

A:

Q: X 2 +2 x-2 3. Find lim 4. Prove that lim(2x² +1)=3

A: Dear student,                       According to our guidelines we are supposed to answer only first…

Q: X 1. Find 1- x³ 1– + 0 x + 1 lim

A: As per Bartleby guidelines rule I am answering only first question as other questions are not the…

Q: 10* – 5* – 2* +1 (b). Evaluate lim- VI+x-V1-x (i).Evaluate lim- sin-!

A:

Q: How to do a problem use Limits? Number 17

A: Here a function in variable x is given and we need to determine its value when x tends to . This is…

Q: + h 4 (a) Lim×-1'x+1 X (b) Lim h→0 V5h + 4 – 2 -2 - t3 – 1 3. (c) Lim t-1 t-1 II

A: To show the given limits, we use the algebraic indentity and rationalization of a fraction.

Q: Prove the limit statements

A: Given: fx=4-2x,x<16x-4,x≥1 we know that limit of any given function at given point exist only if…

Q: 2.7h - 1 lim 2.8h 1 lim - and - h 0 h h

A: To see explaintaton

Q: 54. lim 2 (2-x)' 55. lim y r+1 x-1 56. lim (Vx+ +2x-V-2x

A:

Q: x-2 lim Jx-2

A: Find the limit limx→2x2-2x-2.

Q: 9- 3x x ス-2 g (x)= ax + 3b 4x t b to Find A and B lim g(x) x->-2 lim 9 (x) メー>」

A: g(x)=a-3x,x<-2ax+3b,-2≤x≤14x+b,x>1

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: 2х + 1 29. lim x² – x X→-∞ - sin 2x 31. lim

A:

Q: 2 lim キx°- キx - しx* -I 3 x メ→ o -\x3+ キメ - 12

A:

Q: e2x –1- 2x lim -0 1- cos 3x (ii) Evaluate

A:

Q: Зx2 +2х-5 1. lim x-1 х-1

A:

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: x-2 j) lim -3x+2 3x+2x lim 0 x+4x k) x2 -3x+2 lim 2 x - 2x I) lim -x 1-x im m)

A: We will find the value of Given limit.

Q: .2 lim (x,y)→(0,0) x² + y²

A: Consider the given: limx,y→0,0x2x2+y2Let y=mx

Q: Н.W: 3 lim x*-2x2-8 1-x2 х2-4 3- lim V3x-3 X-3 2- lim (1+x)2-1

A:

Q: 28. lim x -2 x-4 V2+パ-V2-x 29. lim

A:

Q: x² – 4x lim +-1 г2 — 3х — 4 I-1 x

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

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

A: Given 1.      lim x→3 10x-22.       lim x→2 2x-1x-3 To find - the value of the given limits

Q: x2 -x-2 lim n) 2 x2- 2x X-2 x +5 lim X2 x-3 (o

A: according to a guideline we should have been able to do only one question at a time #n #o

Q: 3x²+2x+1 Q1: Using the L Hopital Rule Evaluate: lim x→0o 5x2+3x+3

A: Given: limx→∞3x2+2x+15x2+3x+3  ……1

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

A:

Q: 1. lim(8 - Зх + 12х?) x-2 6+ 4t 2. lim t--3 t²+1 2x2-17х+8 3. lim x-8 8-х

A:

Q: 23 x – 1 (c) lim 1 x→1 3. (d) lim a3: = 8. x→2

A:

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: 19. lim x→2- x² – 4 eas y + 6 21. lim y→6+ y2 – 36 -

A: Given that limx→2- xx2-4 limx→6+y+6y2-36

Q: 51. lim (x- 2) *2-4 X+2+ lim r1/(x-1)

A:

Q: Find the limits

A: Find the limits

Q: x' -x+1 Evaluate (iii) lim 5x' +7 and show work

A: The given limit can be evaluated by taking x3 as common from numerator and denominator

Q: 3. Prove lim 3x-7= 2 X-3

A:

Q: 2* – 1 x→0 V1 +x – 1 lim Evaluate

A:

Q: 3+2r lim エ→0 =?

A: Given , limx→03x2+2xx