1² – x – 2 4. lim 1-1 3 – 6x2 – 7x

Q: evaluate the limit.

A:

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: x' - 4x? – 9x+36 lim b) x - x-12 x-3 e* -e* – 2x lim c) x- sin x

A: limx→-3x3-4x2-9x+36x2-x-12=limx→-3x2x-4-9x-4x2-4x+3x-12=limx→-3x2-9x-4xx-4+3x-4=limx→-3x2-32x-4x-4x+…

Q: 4 2 . 02- 9f 2xS 9x) s X-X+2 lim

A: Given: 2x≤gx≤x4-x2+2

Q: x³ +1 .3 34 lim .3 x → 12x + 2 lim Vx + 2 x > 2 35. Answer lim 5x + 2 x → - 2 36.

A: we have to evaluate the following limits

Q: lim 5x +2 1. -1 lim 3x2 – 6x +1 2. +4 lim vx 3. *+2 3. m vx2- 5x + 7

A: We’ll answer the first three sub-parts since the exact one wasn’t specified. Please submit a new…

Q: 6x c) lim 10 4r – 7

A:

Q: 1. lim yx2 —2х + 7 г2 + 4 — 1 2. lim x→-1 x2 + 7 2? - 5х — 3 3. lim т—3 4х2 — 7х - 15

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

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: 1 4. lim %3D x→0 x²(x + 7)

A:

Q: 8+x-4x? Lim\ belowr → 0∞ V6+x²+7x* O a. -4/7 O b. 4/7 O c. 4//7 O d. -4/7

A:

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

A: Find the limit

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: 24. lim 4- 2x x-2

A:

Q: Limits at infinity Evaluate the following limits or state thatthey do not exist.

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: Vx+2-3 (a) lim x→7 х—7 4x +3x – 10 | (b) lim х> -2 х* +8х +12 sin xcos x (c) lim x→ 0 x(х + 6)

A:

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: 3x+x Q2) Evaluate limy+o 2-8

A:

Q: x² – 9 16. lim x - - 3- x +3 (4 + h)² – 16 18. lim h→0 sin²x 20. lim htan³x 4

A:

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

A:

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: use a graphing utility to find the indicated limit rounded to two decimal places.

A: Since, you have asked multiple question, we will solved the first question for you. If you want any…

Q: 6.The lim x +3 is equal to 1S 3x-4x+n sin t. 7.The [1 is equal to

A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

Q: 3x2(x – 1) (a) lim 1→∞ 5x(2x2 + 1) 2 – x3 (b) lim 2x + 5 (c) 1→-0 x4 – 2x³ + 1 2x2 (d) lim lim r--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: Зx2-17х + 20 lim х—44х2 — 25х -36 А. — 1 is - 1 В. — 2 С. 2 D. 1

A: We have to solve

Q: x² + 8x – 9 4. lim 1 x3 – 2x2 – 5x + 6 t3 – 7t2 + 16t – 12 5. lim t→2 t4 – 4t3 + 4t² w? – 4w + 1 6.…

A:

Q: Зx2 — 9х + 6 lim х-2 х* — 16 lim х-2 х — 2 х2 — 5х + 4 lim x→4 Vx + 5 – 3

A: We will evaluate the limit by method of factorization

Q: 17. lim (2x+1) = 5 x-2

A: I hope the question is to prove that the limit is equal to 5.  The answer is in step 2.

Q: 4. 7. x² –7x+12 5. lim x →4 (2+h)² – 2² lim h→0 lim 9 х-4 h x →7

A: Here we have to find the limit of given function

Q: 2. lim X3 X - 3 X +7 lim x-7 X -49 ww 4- X lim xー→4 2- 4. Vx + 2 – 2 lim- wwww 5. X - 2 I3D %3D 11…

A: (a). limx→3x2-5x+6x-3factorize the numeratorlimx→3(x-3)(x-2)x-3limx→3(x-2)Plug in the value x=33-2=1…

Q: x²-2xy lim (x, y)-(2,1) x2-4y2 2 3 .A O 1.B O 1 4 .C O 2 .DO

A: lim(x,y)→2,1x2-2xyx2-4y2

Q: X2 4 3) lim メーや2 3-Jx2ょ5 it

A: We will find the solution of this problem.  Here,  we will use L.HOSPITAL. RULE.

Q: х4 + 5x3 + 6х2 (c) limx→-2 x2 (x + 1) – 4(x + 1) 3 (d) limx→-3 |x + 1| + Vx +1- 2 (e) limx→3 х2 — 9

A: In the given problem, we have three different limit functions. We have to evaluate these functions…

Q: x-27 3.1 lim N-3 X౭-9 x²+2x+1 3.2 lim 3x+4 V1+x2 3.3 lim

A: 3.1) limx→3x3-27x2-9 = 33-2732-9= 00 Hence , we will use L hopital's rule limx→af(x)g(x) =…

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

A:

Q: 2 – 1 | lim X→-1 elx+1)² – 1 | - 1

A: When limit is of the form 00 or ∞∞, then L'Hospital rule is used.In this rule, take the derivative…

Q: e2x -1 (1) Lim y² – y-6 (2) Lim yー2 y -4 Vx-3 (3) Lim xー→9 1 1 x 9

A: Given: limx→0e2x-1x, limx→-2y2-y-6y2-4, limx→9x-31x-19 We know that limx→0ekx-1kx=1…

Q: а. lim,(3r — 5) T-1 22 – 9 b. lim THe x2 – 4xr+3 where c= 0,1,2 22 – 9 C. lim 1→3 x2 – 4+3

A:

Q: 3x+1 5) lim x+ 2x +5 2+Vx lim ²-3x 6) 7) lim 2-Vx

A: Limits

Q: 4x? — 25х + 25 (a) lim x→5 x² – 8x + 15 | Vx + 22 – 5 (b) lim x→3 x – 3 -

A: The limit of a function limx→Xfx=Y means that value of  function fx can be as close to Y by making…

Q: 1) 2|3x + 9| < 36 x2-2 2) lim х-2 х-3х+2

A: According to question given that :(1)   23x+9&lt;36(2)   limx=2x2-23x+2

Q: h +2h (d) lim 3h -h' +5x+4 (e) lim x' +x-12 -3x +5x+4 lim 4x +x-12

A:

Q: x+ 3 20. lim x-3 x + 4x +3 x²-7x + 10 22. lim x2 x-2 ? + 3t + 2 24. lim 7-1-2 Sy + 8y2 26. lim y0 3y…

A: Note: according to our guidelines we can answer only first question because there are multiple…

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: 1 lim(2x + 1)zx =? X→0

A: In the given question, the concept of Limit is applied. Limit The limit formula is employed to…

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.