Provide an appropriate response. lim Find: 1gx) Ex) +> 5 x 5 DNE

Q: In(sin æ) is cot z lim Select one: 1 a. 2 b. -1 c. 0 d. 1 O O

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Q: Let A E Ma(R), where d E N. Find A lim ( Id + n

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Q: Find the limit of the trigonometric function. (If an answer does not exist, enter DNE.) sin x lim x…

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Q: Let a be a nonzero constant such that a + 55. Let ax? + sin? y 55x² + y² f(x, y) = and let L =…

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Q: lim y→0 \ In cos y O 2 O 1

A: We have, the given limit problem as limy→0y3lncosy On substituting y=0 directly into the given limit…

Q: e) sec mx – 1 lim

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Q: Q2) Answer the following limits y cot 4y 1) Lim yo sin y cot 2y

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Q: Find the limit of the trigonometric function.

A: We have given the limit function;

Q: Find the length of arc AB in terms of x.

A: Arc length is given by s=r.θwhere r = radius of the circle and  θ = central angle in radian

Q: Find the area inside one petal of the four-leaved rose r = sin 2x

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Q: Find the limit.

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Q: In circle T with the measure of minor arc SU= 98°, find mZSVU. T V U S

A: Central angle = 2× inscribed angle, on same arc.

Q: Evaluate lim In(t) sin(t) . For the toolbar press ALT+C10 (DC)or ALT

A: See the attachment

Q: La) Find lim sup„→∞ sin n. Justify your answer.

A: Note: As per bartleby instruction when more than one question is given only one has to be answered.…

Q: For B = – lim r² -1 6 sin z which one is B?

A: In this question we have the limit for B.

Q: Use the formula for arc length to show that the circumference of the circle       x2 + y2 = 1 is 2 .

A: x2 + y2 = 1 has center (0,0) and radius = 1 unit. We solve for y from the equation. We will…

Q: In circle X, XY = 2 and mZY XZ = 160°. Find the area of shaded sector. Express your answer as a…

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Q: Given lim (0,y)→(0,0) x4 + y? 1 and lim (2,22)→(0,0) x4 + y? 2 does lim (2,y)→(0,0) z1+y? exist?…

A: We have to find whether lim ( x, y ) tends to ( 0, 0 ) x2y / ( x4 + y2 ) exist or not .

Q: e) With respect to y = cosx, is there a vertical stretch or compression? f) With respect to y =…

A: To answer parts e and f

Q: Use L'Hôpital's Rule to calculate the following limits. sin r + tanr 1² – 1 te (a) lim (b) lim Inr…

A: "Since you have asked multiple questions, we will solve the first question for you.  If you want…

Q: For what value of a is the following equation true? limx∞ ( (x + a)/( x − a))^x = e.

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Q: 2-2cosx-xln(1+x) lim xsin?x sin?x lim X0 Cos2x-cosx

A: The solution are next step...

Q: Find an evintion for the tangent ine to the goaph of the given Sunclion at (-5,16)

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Q: . Use the sandwich theorem sin x (a) lim Vx 400

A: The given expression is: limx→∞sin xx

Q: lim (sin r)tan z T/2

A: Given problem :- Identify the indeterminate form and evaluate limx→π-2sinxtanx

Q: We have to find area right to z= 2.54

A: Given:  It is required to find the area right to z= 2.54.

Q: O The lengths Of two adsacent 3ides OF a Yec tang ular quilt are 15 Cm and fs cM. Find the Derimeter…

A: Using rectangle and square formula we have

Q: a). Evalieteo lim foca+la -4 X-2 b). f(x){ de?+72, xこ 3x2+3d9x > a Contir at evesy ?

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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: by interpreting it as the area of part of a familiar geometric figure. Evaluate lim N00 N j=1

A: Here limits is,

Q: Use the L' Hospital Rule to find : lim In ( csc? x) x → 3n (2 (x -37/2)2 lim Ja'y +a-a 8h - (1…

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Q: In circle X, mZYXZ = 135° and the area of the shaded sector =T. Find the length of XY.

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Q: Using the final value theorem, find f(t) = 2+3 e¯2'sin 4t as t approach lim f(t) =

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Q: Evaluate the limits analytically sin rte –1 A. lim,-→0 I COS I

A: Find your answer below

Q: f(z) is continuos if lim f(z) =f(z,) 0 صواب ihi O

A: Given a statement

Q: Find the length of the arc formed by x2 = 10y from point A to point B, where A (0,0) and B = (100,…

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Q: The radius of a circle is 3 in. Find its area in terms of T.

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Q: Find the limit of the trigonometric function. (If an answer does not exist, enter DNE.) sin 9t lim t…

A: Limit t-> 0((sin 9t)/8t)

Q: C. Evaluate the following Trigonometric Limits: 1. lim cos 5x TO

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Q: Find the following limits (if they don't exist write DNE, ∞o or -∞o as appropriate): Answer: lim h→0…

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Q: Find the arclength of the e given by ƒ(æ) = 1 + 6x³/2 for 0 < x < 1. curv

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Q: a) cosh (x) tanh' (?) = sechi! (?) find the "(?) In 1- i

A:

Q: D Find lim X,Y)→ (5,1) XY X+y or show it DNE.

A: We have to find limit

Q: Find the length of the entire perimeter of the region inside r = 14 sin 0 but outside r = 2. Answer:

A: Given the region r=14sinθ and r=2. We need to find the length of the entire perimeter inside…

Q: Find the area inside the larger loop and outside the smaller loop of the limicon ? = 1 + 2 cos ?.

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Q: Evaluate the limit. 3 sin? 2x lim х—0 8x2

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Q: Prove the following result: lim csc 0 – cot 0 = 0 0→0

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Q: Use the table of values and graph to evaluate the following limits a. limx→0 (1-cos5x/6x) b.…

A: limx→01-cos5x6x The graph of y=1-cos5x6x is, From the graph we can see that the value of 1-cos5x6x…

Q: Find the limits by rewriting the fractions first.

A: We have to find:

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.