2+3x – 5x2 3, 23. lim X +∞ 1+8x2

Q: 4. lim(5 )(-10x ) 5. lim(13x – 2)( x + 1 )

A: Given: L1=limx→155-10x, L2=limx→713x-2x+1 We know that limx→afxgx=limx→afxlimx→agx…

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: Find the limit.

A:

Q: 3x2+2x+ 1: Using the L Hopital Rule Evaluate: lim rzm 5x2+3x+

A: Here we have, limx→∞3x2+2x+15x2+3x+3

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: 2+9-3 1- lim 0

A: Authoring guidelines:…

Q: 2. Find lim (√x + 2 = √2).

A:

Q: (а) 5x-3 – 4 (i) Lim X0 2x-2 +9 (х - 3)2 (ii) Lim- X0 X2 7- 2x – 3

A: We must know that 1∞=0 And here the  limits are (i)  -49     and (ii) 2

Q: 16. lim (2 – 3x) = –4 x → 2 %3D - 19. lim (1-3-) -- 3 20. lim 2 = 7 x → 5 21. lim x2 – 2x – 8 = 6 x…

A:

Q: Find each limit, if it exists.

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: 3 - Væ + 5 lim x – 4 - ||

A:

Q: lim 17) P - (5, 5, 1) In (z\x2 + y²)

A:

Q: 3 lim WrZ_3K -x). x2-3X

A: The value of the limit is, - 3/2 The detailed solution is as follows below:

Q: Finding Limits #23 please

A: Given information:

Q: х — 6 lim 2 X→ -0 x² + 5

A:

Q: 9. lim -2x-15 (3r-2)-(x+2) 10. lim -5 x-5 x-2

A: The limit of a function (expression ) is a value of that function (expression ) that approaches as…

Q: 7. lim z+5* 15 3r 2- 2z-3 lim 73 22-8r+ 15

A: Find the limit

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: 2x2 – 12x 1. lim 1-6 r2 +x - 42 3- V25- 2 2. lim 1--4 r+4 3. lim

A:

Q: х6 + x5 — х3+ 2х — 5 9. lim 2x4 + 4x3 +2х2 + 1 9- 5x6 — 2x3 + 5х + 5 10. lim х6 — 4x3 + 10 X -0 -

A:

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

A: To see explaintaton

Q: 4. lim x5 x- Note* the sign is negative -1/2 5. lim va N. -- I. 2v2 6. lim 3x Vx Н. 243 3 x-27

A:

Q: х3 + 2x2 + х 1. iim х->-1 2x2 —— х — 3 х3 + 2x? + 7х 2. lim X→-2 2х — 3 х3 + x2 + 4x 3. lim X→ー3 2x2

A: 1) limx→-1x3+2x2+x2x2-x-3Apply L-Hospital…

Q: 7x3 – 4x + 2x6 lim с. 5x3 — Зх2 x--00 7x3 - 4x + 2x6 lim d. 5x9 — Зх2 x00 7x3 - 4x + 2x lim 5x3 —…

A:

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

A:

Q: 22-7x 18 lim r -2 x + 2

A: Consider the following limit:…

Q: Q.1: Evaluate Vx+25 -5 х2-10х (1) lim (2) lim x-12 Vx+4 x (х+3) 2x2+3 x2-25 (3) lim (4) lim X-5 x-5…

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

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: 4x2+11х-3 (i) lim x→-3 9—х2 (ii) lim 2 -1 *-4 х36 6-х Vx2+9-V2x2+9 (iii) lim х-0 VЗx2+4-V2х2+4

A: We will solve the following

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

A:

Q: бх — 2, х < 2 3. limf(x) for f (x) = x-2 %3D 13x2 -1, х 22 |

A:

Q: х2 + 3x + 2 lim х> -1 х2 —х — 2 Vx – 3 lim х— 9- х — 9 4 — х lim x→ 4 5 – Vx² + 9

A: To evaluate the limits. limx→-1x2+3x+2x2-x-2 Solution:…

Q: 47. lim -4 3x-5x +7 8+2x-5x 2-2 48, lim 49. lim

A: we have to solve given problem;

Q: х* — 2х lim 2 x→2 X х — 4 - 4

A:

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: 6. lim x2 - 5х + 4 x→-2 3-Vx+6 8. lim х-з х+3

A: Limit properties: limx→afx±gx=limx→afx±limx→agx limx→afxgx=limx→afxlimx→agx limx→acfx=c limx→afx

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. lim (2r + 5) 2. lim (10 3x) X12 3. lim(-x + 5xr 2) 4. im (x'-2r? + 4x + 8) 5. lim 8(t - 5)(t-7)…

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: 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

A:

Q: 3 a. lim うルーフ4 4- 1し 5- J3c+9 2-Jつい 5. しim うしー72 ル+2-Vt4んt4 C. Lim 2021+リ-26 ルーフ 20t ーて

A:

Q: 3+ 12x4 – 7x +x³ a) lim 2л2 — За3 + х — 424 3x3 +x – 4x4* - -

A:

Q: 3 limy 0 1 - x!

A: This is the problem of limit and calculus.

Q: 4х-8 lim Jx² +16

A: Try to put 'x' in denominator , so that when x tends to infinity then that term will become zero.

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: х2 — 25 а) lim x→-5 х2+ 2х - 15 х2 — 4х — 21 b) lim х>-5 Зx2 — 17х — 28 х2 — 2ху lim c) (х,у)-(2,1)…

A:

Q: 6.lim 2+x-VZ

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.