111. lim cos x -2

Q: Find the limit.

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Q: tan?x lim

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Q: (12 sin )( In x) (x3+5)(x-1) Evaluate limx→1

A: Here we have to evaluate the given limit .

Q: 1 Evaluate the lim sin x>0

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Q: 65. lim (cos x)/

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Q: sin(4x) 8. Compute lim x-0 tan(3x)

A: The solution are next step

Q: lim cos x+4e* is 5er

A:

Q: -1 sin (5x) lim

A: The given expression is limx→0sin-15xx the given expression is the indeterminate form 00 Apply L'…

Q: -1 lim tan(In x)

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Q: 2 In (1+ lim X -00 3 tan 2 x

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Q: Find the value of Tx³ + 2. lim [sin x3 + 1 -1 1 O O

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

Q: III. Use Squeeze Theorem to evaluate lim 8478 COS X log x

A: To Evaluate: limx→+∞cosxlog12x by using squeeze theorem:

Q: 1) lim (tan x) cos x X-2

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: 44. lim sin² x x→n/4

A:

Q: x- cosX X- COS X 4. lim,

A: Our Aim is to evaluate the limits given below:-limx→∞x-cos (x)x-(i)

Q: 5. Evaluate lim sin(x)– (x² + 3x – e*). (x³ – 2x2 - 6 + 3x) 6. Evaluate lim X→2 х - 2

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Q: Q\ Find lim tan(x)cos(x) O 2 -1

A: The given limit is of the form ∞0 form. Let L=limx→π2-tan xcos x⇒ln L=ln limx→π2-tan xcos x…

Q: 1 Evaluate lim 1 sin

A: The given limit is limx→∞1sin1x Let x=1/z z=1/x when x tends to infinity z tends to 0

Q: Find lim 1+1? 1-e24 -2t -1 tant, 2 2 1-1

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Q: 1. 5.lim cos(x) sin(x)

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Q: Find values of a and b such that sin 3x + ax + bx³ lim = 0 x3

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Q: (1) lim,o In (sec x) 3x (2) lim, (tan x)*

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Q: tan 2x lim 4.x4

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Q: 4. Evaluate lim (cos x)¹/x². x-0

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Q: 5. Evaluate: lim, 0 2x- x2 sin a 1 Does not exist 2.

A: lim (2x-x2)/sinxx→0

Q: lim (In(x))* ?

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Q: tan nx 3) lim x→0

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Q: 8. Evaluate e8x - 1 lim sin (6x)

A: See the attachment.

Q: Find x² lim x0 1 - cos x

A: Solved below...

Q: 7- sin-(e*) 2 lim V1 - e2x

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Q: lim (4x+cosx) / x ? x--->infinity

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Q: 30 lim e tan x X(7/2)+

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Q: Q4:Evaluate 1) lim (1-1) x-0 \sin x

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Q: 3 lim tan³ 2x x→0

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Q: 2. Evaluate cosxsin2x lim 1 – sinx

A: We need to find limx→π2cos x sin 2x1-sin x Now, put the limit in the function, that is put x=π2 .…

Q: 44. lim sin² x 7/4

A: The limit is, 1/2 The detailed solution is as follows below :

Q: sinh x Evaluate lim et

A: We have to find limit of given function limx→∞sinhxex We know, sinhx=ex-e-x2 limx→∞sinhxex

Q: tan 2x 27. lim x→0

A: Find the following limit

Q: 8. Evaluate lim sin7x. x0 3x

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Q: Evaluate lim sin(x)(x +2) 4 8 3x/2+8/2 8 O Does not exist

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Q: limr→(1 − )tan =N x

A: Concept: Limit of a function: Think about the f function (x). X must have values ​​close to the…

Q: 73. lim In(cos x)

A:

Q: 10 sin(4x³) 12x8 lim X→0

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

Q: 1 x |=? Use L'Hospital's Rule 4 lim- 5 arctan -4 arctan 5 xVx

A:

Q: Evaluate

A: Our Aim is to evaluate the limit given below:-limx→0tan (2x)x-(i)

Q: evaluate the limit.

A: Given limit is Since Therefore, by applying L'Hopitals' Rule, we have