Recitation Week 4 Discussion Problems - 40. Prove that lim esin(r/r)=0.

Q: The value of lim in is nº (1+ n00 (1) e (2) e? (3) Ve (4) e 1

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Q: x(1+acosx)-bsınx Find the values of a and b so that lim exists and equals 1 x3

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Q: Question 1: Find the limits of the functions below a) lim,-3 2x3 sin x b) lim,

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Q: 1 Evaluate the lim sin x>0

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Q: How do you find the limit of f(x) of the attached equation?

A: Notice that the graph is discontinuous at x=3.

Q: tan z lim Is Select one: a. 1 b. e C.-1 d. 0

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Q: Problem 4. Let for (æ, y) # (0,0) for (a, y) = (0,0) f(a, y) = 2a2+y? (4A) Does lim f(x, y) (x,y)…

A: According to the given information, The function f(x,y) is given as:

Q: 1. x² tan( + 47) + 2 tan-1x lim =? (a) 1 (b) -2 (c) -1 (d) (e)

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Q: Question 3 Let x – 1 2? – 4x + 6 if x > 2. if x < 3 f(x) = { Determine 3.1 lim,+2- f (x). 3.2 lim,2+…

A: The given function is -  f(x) = x-1if x&lt;3x2-4x+6if x⩾2We have to find the following - (a)…

Q: Question One: (i) If lim- 3x sin (ax) = 5 = lim- tan (2x) find the values of a and b. x-0 x-0 bx-x

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Q: Page 3 Question 4 (a) Find the following: x1/3 + 9x1/5 i. Lim- х-о бх1/2 — 4x1/4 (2x – 1)1/2 – 3 х —…

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Q: Problem Set B x +x-5 (1) Find lim- 1-2x-x

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Q: b→-∞ J tan- ((b+3)/4) None of these tan (3/4) d0 lim b→-∞ tan-! ((b+3)/4) sec- (3/4) do b→-…

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Q: Please see attached

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Q: Question No. 1. a) Evaluate the following limits. i) lim 8a (cot 2.x)(csc r), ii) lim 8-1+ |s? + 2s…

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Q: QUESTION 5 lim f(x.y). Find (K)- (0,0) Let f(x.y)= O b.1 OC. -1 O d.1/2 e. Does not exist.

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Q: sin(a2 – r) + x Secondary Topic 2. Compute lim

A: In order to solve this question you need to know the following notions

Q: Question 4 2 i (z-i) lim z?+1 1 O 2i

A: 1 Just use L'Hospitals rule.

Q: tan r 1 The value of lim is Select one: O a. а. е O b. 1 O C. -1 O d. 0 /-

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Q: e2t - e-2 – 4t lim- t- sint

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Q: Example 13: lim x sin(é)

A: To find the limit (x tends to infinity) xsin(2/x)

Q: Question 18 tan(2x) Evaluate: lim x+o 2sin2(x) O a. 0 O b.-1 O C. 00 O d.-00

A: Given query is to find indicated limit.

Q: 1-cos y b) lim (Hint: may want to write as the product of two lim (x,y)→(2,0) xy2

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Q: Can you please answer this question and show all of the steps and say the correct letter

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Q: Given that lim (5x - 5) = 15, illustrate Definition 2 by finding values of d that correspond to ɛ =…

A: To Solve this problem we use here the definition of limit at a given point.

Q: By referring to Figure (Question Seven), find y = 2 y = f(x) Figure (Question Seven) (a) lim f(r).…

A: Let's find.

Q: Can you please answer this question and show all of the steps and say the correct letter

A: Dear student, correct answer not given the options available. Look at the solution below:

Q: Find lim (1 +

A: We have to find

Q: Question xi – 2 h(x) x – 16 What is lim h(x)? Answer in exact (fractional) form, not as a decimal…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find the following: x+/3 + 9x1/5 (2х — 1)1/2 — 3 - i. Lim х-о бх1/2 — 4x1/4 ii. Lim X→5+ х — 5

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Q: Q5:The value of: * sin (5x) lim I-0

A: We have to find the value

Q: QUESTION 6 1-Z What is lim = ? i+1 i- 1 2i i-1 1-i

A: We use definition

Q: Question 21 Evaluate: lim,o sin () -1 37

A: 21. We need to evaluate the following limit limx→0sin-13x2

Q: cos h-1 lim is h O A. 1 O B. -1 OC.O O D. Non existent

A: Option (C) is correct.

Q: A function used in physics (specifically optics and the diffraction of light waves) is called s(x)…

A: hello greetings from bartelby.i am here to help you

Q: Question 16 3 Points f (x) – f (2) The value of lim if f (x) =2x²+1 X-2 x- 2 А B 4 8 D) does not…

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Q: tan(xy) = ? 2. (х.у) -> (0,1) х*у+х lim (a) 0 (b) (e) (c) (d) - (e) 1 3 -14

A: L'Hospital's Rule: If you have a some function f(x) or g(x) that both approach 0 as x→c…

Q: sin 2x tan 3x (a) lim

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Q: x-1 lim when x 2,1.5,1.1_ Q.1. Make a guess about the r->1 X O 99 0 999

A: The expression limx→af(x) will give us the value of f(x) as x approaches a. We know that,…

Q: (b) Find lim, 0 xª cos 2.

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Q: lim f(x) # lim f(x). I c-

A: In question five, we to show  limx→c+f(x) not equal to limx→c-f(x) for monotonic function in (a , b)

Q: Can you please solve these two problems and show all of the steps and say the correct letter

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Q: Question 11 (x+ h)? - x? Evaluate the lim h-0 A) 0 B h C 2x D) 2h E None of the given choices

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Q: 3. Evaluate lim 0r+1 4. Find

A: Given problem:-

Q: Question 5 The values of k and m such limx-e k-m In x %3D e-X °k=-e, m = e m3D k = -e, m = -e ok=…

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Q: a + cos bx Find all values of a and b such that lim -1. x2

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Q: Question 6 6x2-8x+12 Evaluate lim 2>∞ 13x³ 5x2 5x2-9x-27 6/13 ed Infinity Infinity тer

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Q: True or False? limn> 1+i 0 = 0

A: To find the given statement is true or not, first we take Z=1+iπ. Then we find the modulus of Z, and…

Q: sec 0 1 23. lim ө 00

A: The given limit is