Let us find out if you really understood the discussed concept by answering these follow-up exercises. Show your solution. Use the space provided after each item for your solution. 1. Complete the table below. lim 2021 lim x ズ→C -2 3.1416 V3

Q: 16. Evaluate : limx → 5x-2 a. 9 b. 27 C. 81 d. 243 e. Does Not Exist.

A:

Q: 2 _9 ii)lim- t-3 t2+4

A: Given query is to find the limit of the expression.

Q: + )* - lim (1- A A 2* B e с 1 D e

A: To evaluate the limit

Q: -ny4+16n lim = 2 32-y5

A:

Q: Evaluate the following: limxīn X-1 4.

A: To evaluate: The limit of limx→1x1ln x. Formula used: x=eln x Calculation: The limit limx→1x1ln x…

Q: 2x +8 1 x² – 12 x lim X→-6 x + 6

A:

Q: f(2+ h) – f(2) (c) lim

A: By limit definition of derivative, we know that:

Q: 7. Evaluate: lim h→0 √9+h-3 h

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Q: d the limit. 2 lim x→6 (x - 6) ..... 2 (Simplify your answer.) 5 (x - 6)?

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Q: Suppose an = 5. What is the value of lim a,,? n=0 n-0

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Q: Please show step-by-step solution to the problem!

A: To find the limit of function

Q: 11. What is the lim (5x? – 4x + 3)? x-2 А. 13 В. 14 С. 15 D. 16

A: 11.limx→2(5x2-4x+3) Recall: polynomial p(x) then limx→ap(x)=p(a) Soln: let p(x) be 5x2-4x+3…

Q: If lim-s f(z) = 4 and lim,-39(2) = 8, find lim,-s[f*{(r).Vg(2).

A: We can take limit inside and put the given values.

Q: Q: find lim \-c०s2 2->০

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Q: 5* – 1 (a) lim vour cale x + 3 (c) lim 1+0 x2 + 5x + 7

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Q: 2V피+T-3 lim x-1

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Q: ■ Find the limit.

A: The given expression is limt→∞t-tt2t32+3t-5

Q: Write ∞ or -∞ where appropriate.

A: limt→0+2-3t1/3 & limt→0-2-3t1/3

Q: 1. lim 4x 2. lim n--33 3. lim (x² + x - 6) n-0

A:

Q: Please prove the following statement is false with mathematical reasoning, example and graph If f(x;…

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Q: What is the value of c?

A: we have to to find the value of 'c'. limx→c+2x+1=0

Q: Q 3/ A- Find lim,3 x²-3'

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Q: 1 2) Let f (x) = 3+ 4x-8 Find the following: %3D

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Q: Find the value of lim I+2 100 9+1

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Q: Evaluate in terms of the constant a.

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Q: . lima 9(x) = 0 if and only if limx→a g(x) = 0.

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Q: x4-a? X-a 54(x-a)(20), find the value of "a" if lim %3D

A: Given, limx→ax4-a254(x-a)=20

Q: lim, 5 f(x) = 2, what is the value of 2 lim, 5[f(x)]° ? О а. 6 O b. 12 c. О с. 8 O d. 16

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the Following. lim xt) 2 2) lim 3. lim x? +I xマ2 ×マー2 ×マー2

A: The left side limit of a function is the value of the function obtained from the left curve of the…

Q: Find the limit. (7 +2) 8 lim X→ 00

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Q: n +1 lim 2 - ["]

A:

Q: -x-2) lim X-2 Your answer

A: The given limit is limx→1x2-x-2x-2

Q: (a) What is wrong with the following equation? x² + x – 6 x + 3 х — 2 (b) In view of part (a),…

A: We have to explain limx→2x2+x-6x-2=limx→2x+3 is correct or not.

Q: Complete the following table. lim 2016 lim r -2 -1/2 3.1416 10 V3

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Q: 2x Evaluate lim 1+

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Q: Зх—12 lim, 6x+8 -2

A: Given: limx→43x-126x+85-2. Evaluate the limit:…

Q: lim 2. e

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Q: Q 3/ A- Find lim,

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Q: т? + 2х — 15 - Find lim x→3 x2 – 9 - Answer %3D

A:

Q: Evaluate lim, (3 + t +). 10 10" A. 10 B.- 10 C. 10" D. 10 3 E. None of the above.

A: We use the geometric series to answer the given question.

Q: lim 1 0 -1 O 3 0

A:

Q: (a) Write your next step in evaluating lim 10 I+3 (b) Why did you choose to do that step?

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Q: ?+1 lim 2.

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Q: 28. 16(V1+x -1) lim

A: Topic = Limits

Q: lim In(14x + 1) csc(2x) A) 0. B) 1. C) 7. D) e. E) 0o.

A:

Q: The cost, in millions of $, to remove x% of garbage from a landfill is given by 210x C(x)= 100-x a)…

A: (a) In the given question, x is the percentage of garbage to be removed from a landfill.  So, We can…

Q: Lim 4x+2

A:

Q: Evaluate the following: Xー1 1. lim →1x*+3xー4

A: Given- limx→1x-1x2+3x-4 To Find- The value of the above limit expression.

Q: V+1 ? 4. What is the value of the lim2 А. О 3 D. 3 С. 2 В. 1

A:

Q: 5. Find lim [2(a+ h)? – 6(a + h) + 5 – (2a – 6a + 5)]/h h>0

A: Given that, limh→02a+h2-6a+h+5-2a2-6a+5h

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.