Find lim sin (4 T x). I -3

Q: tan 6x sin 3x B) Find the domain and the range of x2+y-D1. Q:1) A) Find the following limits : lim,0

A: We will find out all the required values.

Q: Cos Q1:solve lim オ→+0 π

A: Step:1     Solve:limx→∞  cosπxπx

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: tan (xy) lim = ? (х., у) -(1.0) у+ 2ху (b) - (e) (c) 3 (d) - 4 (a) 0 (e) 1

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Q: x łan 5x sin? (2x) lim

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Q: 1 Evaluate the lim sin x>0

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

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Q: 20xth)t xth 3. Zx- Find the limi,t

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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: E sint Lim

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: cos 5x Find lim ( x³ + 10,000 x→0

A: We have to find the given limit: limx→0x3+cos 5x10, 000 This limit has determinate form so we just…

Q: e2t - e-2 – 4t lim- t- sint

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Q: Q27. The value of lim (1+x)5-e5x+sin x² is? e x2

A: The given limit,limx→01+x5-e5x+sinx2x2

Q: cos x2 - 1 2. Find lim→0 2x 81,341 123

A: Answer and explanation is given below

Q: 8t + 3tant Find lim sint

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Q: x* –1 lim 6 sin x For B = - which one is B? x→0+

A: We have to use series expansion here.

Q: Find the limit

A: Here the given limit

Q: tan(x) d. limx→ x-5 e. limr→∞ xe-*

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Q: Q:B/ Find lim, [tan x-sec x].

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Q: tan 6x Q:1) A) Find the following limits : lim,0 sin 3x B) Find the domain and the range of x2+y-D1.

A: (A) limx→0tan 6xsin 3x00form=L'Hlimx→06xtan 6x6x3xsin 3x3x=2limx→0tan 6x6xsin 3x3x=211 (because…

Q: tan (xy) lim = ? (х, у) ->(1,0) у+ 2ху 1 1 (b) (e) (c) 를 (d) i (а) 0 (e) 1 3 ||

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Q: sin 9x Evaluate lim X0 5x A. -9/5 C. 9/5 B. 0 D. 5

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Q: 8 sin (1r) 3. Find lim 5.r

A: In the question we have to find lim x→08sin(4x)5x

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: e2t-1 Use L'Hospital's Rule to find lim t0 sin t

A: We will use L hospital rule to solve this.

Q: 1-x c) lim- x1 1-Vx 121 sin x d) lim (Hint: Use a calculator to make a table.)

A: c) limx→11-x1-xd) limx→0sin xx

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

A: We have to find the value

Q: V3r-1 7. lim X- sin? x-cos(2x)

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Q: Evaluate lim?→0  (1/sin² x)-((sin x)/(x³))

A: Solution: Consider the given limit function is limx→01sin2x-sinxx3 Using the property of the limit…

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

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Q: tan(xy) lim (х, у) -(1,0) у + 2ху 1 (с) 3 (d) 4 (а) 0 (b) (е) 1

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Q: 1 -is 2 + sin x The value of lim a) 1 1 b) c) 0 d)

A: "Since you have asked multiple question, wewill solve the first question for you. If you want any…

Q: x?+2x If f (x): Solve to find lim f(x)? X-2 %D Vx+6-2'

A: The given function is: fx=x2+2xx+6-2 Solving the function for limx→-2fx Firstly direct putting the…

Q: tan ( xy) :? lim (х.,у) -> (0,1) х-y+x 1 (e) (d) - (а) 0 (b) 2 (е) 1 4

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Q: (b) Find lim, 0 xª cos 2.

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Q: e* – 1 lim x-0 tan 2x

A: Given: limx→0ex-1tan2x

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: tan (xy) lim ? (х, у) ->(1,0) у + 2хy (a) 0 (d) - (b) (e) 1 - |3

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Q: 4 sin(x - 2) x→2 3 ln (3x – 5) Evaluate lim and write your answer in simplest form.

A: We can find the limit in the following steps.

Q: t x sin(t + 1) lim --1 t +1

A: Given : limt→-1t×sint+1t+1

Q: (x² - 3) 7. Build a table to estimate lim sin x

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Q: If f(x) = 3 x2 +x , then f'(1+h) –f'(1) is limn→0 h DNE none

A: We can calculate as per given question

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

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Q: sin2 5t Find lim t2 t0

A: We need to evaluate the limit

Q: 5x² - 3x b. lim 7x² +1 sint? d. lim sin 5x f. lim 0-x

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Q: 4sinx pute lim,x»n sin2x

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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: sin(x²-11x+30) Find limx→6 х-6 a. 0 b. 1 с. 7 d. 11 e. None of the above

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Q: [x-al (a>o) Lim x+ 80a - la 2

A: From the given problem: limx→a-x-ax2+80a2-9a

Q: tan(хy) = ? x²y (х, у) -> (0.1) х*у+х ¯y+x lim

A: