(i) Limx→∞5x3 − 4/2x-2 + 9 (ii) Limx→∞(x − 3)2/x2/2− 2x − 3

Q: (a) limx➔oo x 3 = oo (b) limx➔-oo x 3 = -oo (c) limx➔-oo x 4 = oo

A: To check limit of x3 as x→∞ To construct a table by taking larger values of x and finding…

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A:

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Q: lim as x approaches 4 from the right of 8-2x/|x2-x-12| a. 2  b.-2  c. -1  d. 4  e. infinity

A: The given expression is,

Q: 4x lim エ→-0 r2-8z+3

A:

Q: X-3 lim y→3+ Vx2¬-9 х2-9

A: Find the limit of limx→3+x-3x2-9

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: -5x° + x* + 2 – 5x° + x* (a) lim 3x +4x' +1 6. 1/3 X. - (b) lim x>1 x² - 1

A:

Q: 1-3x limx-0 V5x2+2 Select one: О а. 5 -3 O b. 5 C. O d. 5 O e. none

A: Divide both numerator and denominator by x and use the limit

Q: evaluate the limit.

A: Given  it can be written as

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A: we have to find the limit of the following

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Q: x²-4 (b) lim 4-2 X+2

A: We have to evaluate the limit: blimx→-2x2-4x+2 After putting limit value we get that it is in the…

Q: x2 - 5x limx¬0 х3 +х-2

A: Given: limx→∞x2−5xx3+x−2

Q: Determine the following limits or state that they do not exist.

A: x3-5x2+6xx4-4x2

Q: 1 limx-0- (x 8 %3D x2

A:

Q: x²-7x+10 1. limx-2 x-2

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

Q: 3.lf limT(x--1) [(x^3+x^2-ax)] =1-a, then a= O a. 1. O b. 0. C. -1. O d. 1/2. 4-The equation…

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

A: To see explaintaton

Q: 12. lim(-x + 5x – 2) 14. lim (x – 2x² + 4x + 8) - X→-2 16. lim (8 – 3s)(2s – 1) s2/3 -

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Q: 22-3r 10 d) lim z5 r2 -r - 20

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Q: 1 2. lim,x

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Q: V3+x-V3 is limx→0

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Q: Evaluate the following limits.

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

Q: x² + 8x – 9 4. lim z-1 r3 – 2x2 – 5x + 6 t3 – 7t? + 16t – 12 - 5. lim t→2 t4 – 4t3 + 4t² |

A: Given: 4.limx→1x2+8x-9x3-2x2-5x+6

Q: limx->0+ (x^(e) -5x^(4) -3x^(6) - x^(3) +100)

A:

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: If limz→-14+71i (z² + 28z) = + iy, what is the value of x – y ?

A:

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

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Q: -x²y² lim (x,4)→(0,0) (x³ + y³) e¯ x² + y²

A: Consider the given expression. limx,y→0,0x2+y3x2+y2e−x2y2 Put in the expression y=mx.…

Q: 4x 5e2* – 3e 6e2* + 2e 2. lim -4x x-00

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Q: x3-8 lim = 0 %3D х-2 х4—16 FO

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

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: Q1) Find lim Bx+4-4cos²x+tanx x-0 4sin2x 10x2+125-5 Q2) Find lim x-0 3x2

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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: lim 15 13 15z2 Vr? + 8z lim %3D HY8 9-4x Vr? + 8z lim 9-4r /7

A: Given query is to find limit of the expression. Since first three has been filled correctly, solving…

Q: 1x+21 Ex.2: lim ダー→ -2 (x+3) x+2

A: limx→-2-(x+3)|x+2|x+2

Q: -Sx-2x+4 d. lim x-9x+1 e. lim xo 3x2-2x-15 x249 f. lim 0 2x+2x2-3

A: Limit   If a constant number is decided by infinity then it will tend to zero .

Q: 5a - 4x + x (a) lim 376 + 6x? t2 + 21 – 3 (b) lim 1 t2 – 3t + 2 23+2 (c) lim 3+3

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Q: 1 1 i] lim 2 1--3 x-2 ii] lim- x-* 2x-6

A: Apply put the limit and solve it

Q: 2+3t+2 lim -1 2-t-2 (ii).

A: Given limit: limt→-1 t2+3t+2t2-t-2

Q: lim х-2 x→2 Vx + 7 - 3 Score С. 1 А. 6 В. 4 С. 2 D. 0

A: As we can observe that it is an indeterminate form(0/0). To solve the limit, multiply and divide the…

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A:

Q: (a) (i) Lim  5x −3 − 4/ 2x −2 + 9  x→∞  (ii) Lim      (x − 3) 2/x2/2  − 2x − 3      x→∞

A:

Q: 4r-r lim 4 2-

A: We have to find limit

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: x2 - 4 a. limz-1 3r² + 6 c. lim→2 x² – 9 V2x – I – 3 b. limz→-3 d. lim, 45+ 1² + 2x – 3 I- 5

A: We have to find the given limit. (a). limx→1 x2-43x2+6

Q: steps: -x*-5x lim arctan 4+3x2-2. V1+4x6 b. lim lim (V9x2 + 2x + 3x) С.

A: Solving by limit theorem we have

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.