Solve 23. a. Show that the area A, of an n-sided regular polygon in a circle of radius r is An nr? 2 ·sin 27 b. Find the limit of A„ as n→ 0. Is this answer consistent with what you know about the area of a circle?

Q: Find the limit. (If an answer does not exist, enter DNE.) sin 0 lim 0 → 0 40 + tan 0

A: Given limit is in indeterminate form , just use the L'Hospital's rule and find the required limit of…

Q: Which of the following is equal to the limit limx→0 sin^2 2x/xtanx A.  0  B.  4  C.  2  D.  8

A: We have to find the limit Use l'hopitals rule to obtain the limit. Keep on differentiating the…

Q: Find the limits of n' fntegl s taben an+34 e dy dz a> b) 名ー15x54 Nome of these

A: It is an important part of statistics . It is widely used .

Q: Find the limits. Enter "DNE" if the limit does not exist. x? – y lim (1,y)→(2,2)

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Q: A machinist is required to manufacture a circular metal disk with area 622 cm?. Give your answers in…

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Q: 2) Use the definition of the definite integral to write 2 e* dx as a limit. Do not evaluate this…

A: In this we use the limit  definition of definite integral

Q: sint 1 COs t 13. lim t+0 t t

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Q: Use L'Hospital to determine the following limit. Use exact values. lim (1 + sin 62) = z→0

A: Since  you have posted a multiple  question according to guildlines I will solve first   question…

Q: This question has 3 parts. Answer each part correctly to get the next part. z? + 7y? + 522 Consider…

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Q: Find the limit for the following sin(3y).cot (5y) lim y→0 y.cot (4y)

A: we have to find the limit of the following.

Q: Use the formula + sin mh sin h + sin 2h + sin 3h + ... cos (h/2) – cos ((m + (1/2))h) 2 sin (h/2) to…

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Q: ind the following limits using I sin(Tx) lim -0 tan(ex)'

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Q: Which of the definite integrals is equivalent to the following limit? 5i In ( 2+ lim n-00 Choose 1…

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Q: So sin(t²) =? lim, »0* O a. Limit does not exist O b. 1/3 O c. 00 O d. 0 O e. 2/3

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Q: Find the area in the first quandrant bound by the parabola y

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Q: 2- Find the area f the negion cut from the trst quadrant by the regson r= l+ Sino?

A: From the given problem:   r=1+sinθ   Given first quadrant it means:   θ→0 to π2r→0 to 1+sinθ   Now…

Q: Use l’Hôpital’s rule to find the limits

A: Given: limt→0sint2t To determine:  The value of given limit using L' Hospital's rule. Concept used:…

Q: Q2: Find the following limits 3. lim sin3y cot5y y-0 ycot4y

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Q: ´sin(2x)-1) lim x→n/4 \ cos²(2x)

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Q: You have answered 3 out of 4 parts correctly. Find the limits, if they exist, or type DNE for any…

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Q: ;: The integral that represents the length of the arc of the curve y? = x' between the points (1, 3)…

A: It's true

Q: In which limits below can we use L'Hôpital's Rule? O lim 2x? + 7x + 6 lim x2 + 8x – 9 sin x O lim…

A: L'Hopital rule is used for indeterminate forms.

Q: Find the limit (If it exists). (If an answer does not exist, enter DNE. Round your answer to four…

A: This question can be solved using the concept of limits.

Q: Which best describes a removable discontinuity at x = a using limits? m flm) deog not ovist

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Q: Q3 (A): By using "L' Hopital rales "; Find the limits of: (1) limal; (2) Itm X(tan-¹x-x)

A: I have solved step by step in detail...go through the solution

Q: Aetermine whather im sin y exicts If it exists, find the limit ?

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Q: Evaluate the limit. sin? 3t lim t-0 O DNE O 0/0 O 3 9,

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Q: Find the limit. j+ tan(2t) k sin?(t) -3t i + lim t→0 e

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Q: Find the following limit. Answer in either integer or fraction form. NO DECIMAL APPROXIMATIONS. If…

A: To find the limit.

Q: A machinist is required to manufacture a circular metal disk with area 645 em?. Give your answers in…

A: a)

Q: e* + e * — х2 — 2 lim —х sin?x – x2

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Q: Use l'Hôpital's Rule to find the limit. e 3t +1? lim 3t t t00 5 e - e 3t + 1? lim (Type an exact…

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Q: Bm 11 2元

A: we need to find the integral of the function in the given limits to get the

Q: From the vertex (0, c) of the catenary y = c cosh(x/c) a line L is drawn perpendicular to the…

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Q: then evaluate the limit. n vo Ingolal n69 olulny CILCIC 4 4i 16i2 n V 23. (x – x²) dx, R, = -2 Σ | n…

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Q: A machinist is required to manufacture a circular metal disk with area 938 cm2. Give your answers in…

A: a) using the formula of area of circle A=πx2given A=938⇒938=πx2x2=938π

Q: 1) Find the following limits. Do not apply L'Hospital's rule. r² + x – 6 lim 1+2 r? – 2.r (a) (b…

A: (a).  We have to find:  limx→2 x2+x-6x2-2x

Q: ind the following limit. x2 + 1 lim (x, y) - (0, 15) arctan + (y – 15)2,

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Q: Use l'Hôpital's rule to find the following limit. 1 1 1. x-2 In (x-1) X-2+ 1. x-2 In (x-1) 1. |(Type…

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

Q: 2. Evaluate the following limits if they exist: sin(r² + y²). (a) lim (1,9)(0,0) 2x2 + 2y² Ty (b)…

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Q: To apply the divergence test for Σ „5/4n² n=1 we need to evaluate lim eS/4n?. n→∞ What is the value…

A: Here we have to find the value of the limit.

Q: Describe a region whose signed area is equal to the following limit. (m) (부) n 3Ti 37 E cos lim -ㅠ +…

A: Given, limn→∞∑i=1ncos-π+3πni3πn We know that, ∆x=b-an and xi=a+i∆x for the interval a,b.

Q: If  x=10cos^(3)⁡θ and y=10sin^(3)⁡θ, find the total length of the curve swept out by the point (x,y)…

A: The arc of the curve in the parametric form can be evaluated for the length using the formula of…

Q: In the following express the limit as integral only. DO Not Evaluate the integral: lim ( sin" (2παξ)…

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Q: 1 – cos(x² + y?) x2 + y? - lim (x,y)→(0,0)

A: Given lim(x,y)->(0,0)1-cosx2+y2x2+y2 find out the limit if it exists

Q: For the equation y arcsinh (2/2), show that: -) we can write y-In (+√2²+4), ) for small z we have y…

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Q: A machinist is required to manufacture a circular metal disk with area 622 cm². Give your answers in…

A: The solution of above question is written below.

Q: Express the following limit as a definite integral: where a = , b = and f(x) = lim 84x n n? = √²…

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Q: Use l’Hôpital’s rule to find the limits

A: Given function  is,            limt→0t.sin(t)1-cos(t) But we observed that the above function has…

Q: Give the exact value of the limit (an)0il Or it diverg an= ln(3+2n+20sn?) -enlli2",204 n²)

A: Solve the following

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.