2x³ – 3x³ + 7x-1 lim X-→+∞ 7x – xª + x² –3 2.x5 – 3x3 +7x6 – 1 lim 7x - x4 + x² – 3 X->-00

Q: x²-2x-3 lim a. (x-3)3 2-2r-3 x-3 (x-3)' x² - 2x-3 b. lim x² - 2x-3 lim 33 (x-3)3 c.

A: x→3+ limx2-2x-3(x-3)3=x→3+lim(x-3)(x+1)(x-3)3=x→3+limx+1(x-3)2=∞

Q: Find the limits in Exercise

A: (a) Given that, limx→-2+x2-12x+4

Q: 2x- 14 | lim 7- x |2x – 14| lim %3D 7 - x x7+

A:

Q: 7. lim -3 x-9 x-9 (1+h)²-1² 8. lim h-0 h Final Answer: Final Answer: 9. lim -2r-15 (Зх-2)2- (х+2)2…

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

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: (x² – x – 2)(2x +3). Vx² +5-V3x +3 6. lim =... .2 x2

A:

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

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

Q: /1+x-1 lim 1-0 V4 - a - v4- x2

A:

Q: lim 2x2 + 7x +5 X-> -I x+1 lim 16 (Titx -1) | Xー76 lim 2x 3-54 X-7 3 X2-9 lim スーフ4 Nin -(ニル) x2-16…

A:

Q: x2+4-2 -6x*+x2+1 (2) limx-0 (3) limx-0 x2 2x4-x

A: we have to find the limit of the following

Q: x²-1 7. lim x→4 V4x 1 1 8. lim 3 x-3 x-3

A:

Q: 1. lim 13m45 – 6m12 + 100m - 42 x2 - x-6 2. lim I-2 x2 – 2 6 - x + 3x2 3. lim 2л - 4

A: 1. limm→∞13m45-6m12+100m-422. limx→-2x2-x-6x2-23. limx→-∞6-x+3x22x-4 Note:   There are multiple…

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: х —2 Га) lim x4-X-4 x- 3 (b) lim х+2 (х — 2)2

A:

Q: 2x-x +5x-1ulav ad li eno lim- a) 5x-2x+8 x²- 2x+1 b) lim エートーの x' -3 de or owa oleM of x*-2x+97 lim…

A:

Q: 15. lim 0 x-2 |x-2 16. lim x-2 17. lim -2r+1

A: 15- Given- limx→0x-2x-2 To Solve- The above expression.

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: x³+2x2-3x x² +4x+3 2) Evaluate lim -6-1. X-3 Show every step.

A:

Q: Lim x->4 (x2-3x-4)/ (x-4)

A:

Q: x² + x – 6 - f. lim "3 x² – 9 /x + 1 – 2 g. lim х — 3 * 3 x - 8 h. lim * 2 2 x- 2 3x2 + 5x - 2 i.…

A: Given tha

Q: (2) lim 12 X+6 (3) lim (2x³ – 3x² +x) x3 - 2x2 +3x-5 (4) lim X2 3-x

A: Hello. Since your question has multiple parts, we will solve first three complete questions for you.…

Q: 5 - 2x + x² 3. lim 1 - 4x 1 - 6x 4. lim x→-o 4x2 – 4x + 1

A: To evaluate the limits for the given functions . Here we will use the following limit formulas-…

Q: (a) lim *²+3x 6x-18 x²-5x x2+5x+4 (b) lim x-3 x-3 (c) lim x-0 (d) lim ズ→ー4 x+4 x2-7x+6 (e) lim x+8…

A:

Q: V2x2 — х — 1 — Vx — 1 - - - lim x→1 32 - x3 + х — Vx2 +x O A) 2 В) 1 C) none O D) -1 O E) -4

A: we have to evaluate the following limit . For this we can use rationalisation

Q: x-2 6. lim x-2-2-V4x-x²

A: To find:  limx→2- x-22-4x-x2

Q: x² - 36 lim X6 x+6 (a) Vx+11-4 lim (b) x-5 (c) lim- x2 2-x x +6x+9 lim (d) r+3

A:

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…

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: (а) 5x-3 – 4 (i) Lim x-00 2x-2 + 9 (х— 3)2 (ii) Lim X00 x2 7- 2x – 3 2 - 2х

A:

Q: 4x 2-7 x-2 lim 3 x 2-x-9 X00 Worksheet

A: SOLUTION-

Q: 3x4-x2 2) x"m. (2 + inx) lim lim 1) x4-1

A:

Q: x²-9 -,x+-3 Q.1. Let f(x)={x-3 Find the value of k for which limf(x)%3Df(-3) x->-3 k-5k+6,x=-3

A: The function: fx=x2-9x-3x≠-3k2-5k+6x=-3

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: x² 4x + 5 lim 3x а. x+5 lim b. x+7 x² - 49 x - 7 lim С. x² - 3x + 2 2 - 4

A:

Q: 2 -9 3 + 2r – 15 V5x2 – 2ェ (a) lim (b) lim エ→ー 10-エ

A:

Q: Find each limit, if it exists.

A: (a) limx→∞5-2x323x2-4=limx→∞5x32-23x12-4x32=0-2∞-0=-2∞=0 Hence the answer.

Q: x² + 8x - 9 x1 x³2x² - 5x + 6 t³7t² + 16t - 12 t4 - 4t³+ 4t² 4. lim 5. lim t-2

A:

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

A:

Q: 28. lim x -2 x-4 V2+パ-V2-x 29. lim

A:

Q: -3x + 4 a) lim x-2- x2 - 4 x2 b) lim x-3* x2 + 2x – 15 2x4 + 5x3 - 2х- 3 9x + 10 c) lim 5x7 + 2x6 –…

A: a) limx→2--3x+4x2-4=-3(2)+422-4=-6+44-4=-20=-∞limx→2--3x+4x2-4=-∞

Q: х2+2х-3 lim X→-1 х2-1

A:

Q: x2-9x+20 d. lim x-4 x2-3x-4 e. lim +2)2-4 X-0 3x2-x-10 f. lim- x-2 x2+5x-14

A:

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

A:

Q: 1. lim (4x – 7) 2. lim (x3- 2x² + x - 5) X-1 3. lim (x2 - x + 3)(2x – 1) X-2

A: 1. limx→04x-72. limx→1x3-2x2+x-53. limx→-2x2-x+32x-1 Note:     Multiple sub part are given, we are…

Q: 5x2-16х+ 3 7. lim 9-х2 x-3 x3+8 8. lim х--2 х2+8х+12 1 1 4+3y у 9. lim ү+1

A: 7) The limit limx→35x2-16x+39-x2  can be evaluated as, limx→35x2-16x+39-x2  =532-163+39-32…

Q: x2+2x+1 4 - lim (x² +1)2 4x2+2 -2 5 - lim オ→0 2х-2

A:

Q: x*-2x²-x C- lim ズ→2 ,x + 2 xネ-4 Vx-+1- va²+1 d- lim- Xキa ズーa

A:

Q: (а) 5x-3 – 4 (i) Lim- x-00 2x-2 +9 (х— 3)2 (ii) Lim X-00 X T- 2x – 3

A:

Q: V4-4x+x' 18. lim x-2 19. lim 4+1-V4-t x-1 20. lim Vx+3-2 7+31 21. lim (t+2)-(1-2)

A:

Q: Find the following limits algebrically.

A: Part(a)

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.