-5x° + x* + 2 – 5x° + x* (a) lim 3x +4x' +1 6. 1/3 X. - (b) lim x>1 x² - 1

Q: 1) Find limit 1. lim x-0 tan 3x x3+2x2-3x 2. lim x-3 x3-2x2-15x Vx+1-V2x 3. lim x-1 x2-x 1 4. lim- x…

A: Given

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A:

Q: 1-cos (x-7) lim ثم اختر الاجابة الصحيحة؟ أحسب الغاية التالية xt (x-n)sin (x-7)

A: We will use the limit theorems to evaluate the limit as x tends to π.

Q: 2. Find if possible: sin(nx) a) lim x-4 x2-16 b) lim x (sinx+(cosx)³) (x2+1)(x-3) c) lim,--o (cosx)

A: a) Given that limx→-4sin(πx)x2-16we have to find the limit of…

Q: (2) 1: limx-1 sin(x3–1) x-1

A: limx→1 (2-1x)2sin(x3-1)x-1=limx→1 (2x-1x)2sin(x3-1)x-1=limx→1 4x2-4x+1x2sin(x3-1)x-1=limx→1…

Q: 1. limx→1 x-/2-x2 x4+3x3–13x²-27x+36 2. limx-1 x²+3x-4 3. lim,1- V1 – x 3x3-x²+1 lim

A: In this question we will use basic of calculus I.e concept of limits. Solution of the above question…

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A:

Q: 1) lim (2x – 3) = 1 x-2 2) lim|x| = 0 x²-9 3) lim х-з х-3 9 3

A: 1)limx→2(2x-3)=1read : limit x tends to 2, (2x-3) is 1proof:limx→2(2x-3)=2(2)-3

Q: Зx2-14х +8 lim 7x-28 x+4

A: By factoring method: Take factors in numerator and denominator  Limx-4(3x2-14x+8)/(7x-28)         =…

Q: 1. lim(2x – 5) x+4 2. lim(3x + 8) x-1 3. lim *+1 X-2 x-5

A: Disclaimer: Since you have posted multiple question, we will be solving first three. In case you…

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A:

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A:

Q: lim 3x/x+1 = 3 x--> infinity, ε = 0.5, find smallest N > 0

A: Answer

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A:

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A: Given expression limx→01-cos4xx2 Recall the identity 1-cos2x=2sin2x limx→02sin22xx2

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A: Functions are given, we have to find its limits Note: we are answered with 3 part only. please…

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A: We are solving first question for you. If you want solution for any other question than please…

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A:

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A:

Q: 2) lim 1-cos (2 arc sinx) In(a+x2) calaulate the limit.

A: Solve the limit limx→01-cos2arcsinx1n1+x2

Q: 12. lim(-x + 5x – 2) 14. lim (x – 2x² + 4x + 8) - X→-2 16. lim (8 – 3s)(2s – 1) s2/3 -

A:

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A:

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A: As per our guidelines, we are allowed to answer the first question only please resubmit the other…

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A:

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A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

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A: To find the limit.

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A:

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A:

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A: Topic = limits  As per guidelines, At a time only one question can be answered.  please repost for…

Q: cos x-2sinx 1. limx-n 3cosx -2 limx-3 X-3 3x6-x*+2x-3 limy--o 4x5+2x3-5 iv. lim,→-1(x³ limy--1(x³ –…

A: [i]

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A: There are multiple question so as per Bartleby policy  I have answered two question, Kindly ask…

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A: Given,

Q: 11. lim x→ー4 x2-16 2x2+9x+4 z2-36 12. lim Z--16 Z-6

A: (a) We have the given limit problem as limx→-4x2-162x2+9x+4 On calculating the factors of numerator…

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A:

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Q: 8.) lim (-1+ x² – x³ + 3x*) 9.) x3-2x-1 lim x-3 co-X 2x2+3x+1 lim X+ 3x-5x+2 10.)

A:

Q: 1-cos (x-T) lim x→T(x-T)sin (x-π)

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Q: 1. limx→−1−  F(x)= 2.lim x--->-1+  F(x)= 3. limx-->-1  F(x)= 4.F(-1)=

A:

Q: 1-cos(2x) limx→0 sin² (3x) tan x-sin x lim - Evaluate: а- b- x→0 sin³x

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Q: 1. lim sin x sin 2x x-0 1-cos x 3x+x+2 . lim X-4x3+8x+1

A: d) To evaluate                       limx→0 sin x sin 2x1- cos x                            =sin (0)…

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A: Consider the given function, limx→0cos3x-cos2xx2 applying the limit to the function we get,…

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A: Definition of limits helps to find the limit of the function. A value at which the function…

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A:

Q: 1/x 2 In(5x) H lim 2 5x = lim lim lim X- V 5x 5x 2 5x

A: The solution of given problem as follows: