Which expression will lim x-0 sinß equal to ? 1/1 1 NONE OF THESE

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: Choose the correct answer for the following limit sin(x) – tan-"(x) lim x→0 3x3 (A) 3 (B) -1 15 (C)…

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Q: (b) Evaluate the followings (1) lim x? sin x-2 3х-2 (ii) lim X-00 2x+5

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Q: Evaluate using substitution.

A: We find the limit by substitution

Q: a) Find the limits of the following functions: i. sin 2x lim o 2x +x V+ 12-4 lim X-2 x- 2

A: To find the limits of the following functions : (i)  limx → 0 sin 2x2x2 + x(ii)  limx → 2 x2 + 12…

Q: Find the following limits or state that they do not exist. Assume a, b, c, and k are fixed real…

A: We first try to find the limit by substitution

Q: I. Evaluate the following limits. lim (sin x)tane x0+

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Q: Use power reducing formulas to simplify the following identity tan n²(7x)cos²(7x) =

A: Given that,                     tan27x cos27x   = tan7x 2 .cos27x   = sin7xcos7x2 cos27x       Since…

Q: After direct substitution the limit lim (sinx)anx gives Select one: O 01 O 00 O 10 O None 00

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Q: If 2 - x s g(x)s 2 cos.x for all x, find lim,-»o g (x).

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Q: The value of the following limit is sec x lim x-(7/2)- 1+tan x 1 0 The answer is not mentioned O 00

A: limit value = ?

Q: Evaluate:lim x(cos(x)-1), * sin(x) -x O 34 O 22 44 32 Nana O O

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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: Screen Shot 2021-10-05 at 8.28.02 AM.png sin ax if x < 2 f(x) = if x 2 COs ax , find the value of a…

A: We are given a function: f(x) =sin(ax)if x &lt;π2cos(ax)if x ≥π2 Then find the value of 'a' such…

Q: If f(x)=sin* if Lim S(x)] find a - b, for b<0. Type in your answer in figures. !!

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Q: Which of the following statements is incorrect? sin x { A} lim = 1 {C} lim k = k; k is a constant 1…

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Q: 1. Evaluate each of the following limits: sin q-sin a c. lim q-a

A: We apply L- hospital rules.

Q: Can you help me step by step?

A: We directly evaluate the limit as follows,

Q: sin x 6) lim x-0 6x 7) lim X-0 sin 2x sin32x 8) lim x3 x-0

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Q: x + a Find the number a so that lim = 5. x + 3a Lütfen birini seçin: In 5 a. - 2 In 5 O b. 4. In 5 O…

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Q: Determine the following limit. sin 5x lim 2x Select the correct choice below and, if necessary, fill…

A: To find the limit

Q: x? Find lim f(x), where f(x) = x + 5+ (x - 5)3 O A. 00 OB. Ос. 5 O D. -2 8.

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

A: The solution are next step...

Q: ts sum. cos (an) If an=1000,evaluate lim %3D anta n=1

A: This question is related to topic series of real analysis. Solution is given below

Q: ] Let f(x) = sin (=). Does lim f (x) exist? If so, what is it? If not, x+0 why not? (Hint: the…

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Q: Which of the following is an equivalent expression for lim ? cosx A. lim lim x-+0 cos x – C. lim 1-0…

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Q: Determine the value of c for which 42 8n lim (1+ n00 cn

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Q: Let a and L be real numbers. It is given that lim (ax – V36x² + 33x) =L. Find a and L. I-00 Note:…

A: We have the given limit as limx→-∞ax-36x2+33x=L Here, a and L both are real numbers. On solving…

Q: Evaluate the following functions. 1. lim x2 • coS X X 4.

A: Our Aim is to evaluate the function given below:-limx→π4x2. cos (x) -(i)

Q: If lim f(x) = 7, find lim f(x² %3D I→-1 O 49 O 7 O DNE O None of the choices

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Q: Choose the correct answer of the following and support your answer by explanation sin x 1- lim is x0…

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

Q: 18 + 18 + (a) lim t+0o 6 (c) lim t+0 6 - (4) (3=² + 9)" (b) 10 r=D1 (e) lim sin(30) cot(120) (f) x…

A: first we calculate each part one by one then arrange in the required order:-

Q: If 6 – 4x <g(x)<6 cos x for all x, find lim g(x).

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Q: Sketch the graph of the following function and use it to determine the values of a for which lim…

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Q: 5. Simplify the following formulas using the identities to a single trig function csc x cos x cos x…

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Q: If 7- 4x s g(x) s7 cos x for all x, find lim g(x). lim g(x) = X-0 (Type an integer or a simplified…

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Q: Evaluate: lim t-0 t А. -1 В. О С. 1 D. e

A: We need to choose the correct answer, limt→0et-1t A. -1 B. 0 C. 1 D. e

Q: (ex-1)sin(2x)2 x(1- cosx) Evaluate the limit lim Select one: None of them 4 8.

A: Given,  limx→0ex-1sin2x2x1-cosx  We have to evaluate the limit.

Q: (a) Evaluate h(x) = (tan x- x)/x³ for x = 1,0.5, 0.1, 0.05, 0.01, and 0.005. EACHA tan x - x WI (b)…

A: Evaluate h(x) using values x=1, 0.5, 0.1, 0.05, 0.01 and 0.005

Q: Which ONE of the following statements is TRUE with regards to lim (x,y) → (0,0) sin (xy) x² + y²

A: The correct answer is option D.

Q: Which of the following statements is NOT true? 1- cos(1) A 1-OL lim =0 B lim |=0 I+ sin(t) =2 (c)…

A: We can check the truthfulness of the given options as below

Q: Los(tan"x)

A: To write an equivalent algebraic expression for expression shown that involves x only. (assuming x…

Q: Q. 2. a) Find the limits of the following functions: lim sin 2x 52x² + x lim x²+12-4 x-2

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Q: if 81 + 2? — 36 <9h (х) < 81 — 6 sin(5тa) then find lim h (x)| x-6

A: Sandwitch theorem

Q: Given that 3f(x) +9 lim = 8, I – 7 then lim f(æ) = Select one: O a -3 Ob.0 Oc. 3 O d.

A: Given that: limx→73f(x)+9x-7=8 Now, this limit exists even if the denominator is 0 as x tends to 0.…