1 + cos(x) a) lim %3D 20 -x ) lim x-1( In(61x-60)

Q: X- 2 sin 5x 1. lim x2 x-4 2. lim 70 5x2-3x x'-1 4. lim 114r 3. lim X00 7x + 1 7)

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Q: (2-4)* Q1: limx-1 sin(x³–1) x-1

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Q: || x-3 18) lim3(1-cosx)

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

Q: 9. Lim 6x - Sin 2x メ→0 2x +3sin 4X b. lim x²-1 1/2

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Q: ,- 3y sin (4x) - 3y - 2 e sin (4x) Find lim - 4x (х,у)—> (0,0) - 2 e sin (4x) lim - 4x (х,у) — (0,0)…

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Q: lim 1- cos () X00

A: Given, limx→∞1-cos1x To Find the value of this limit function.

Q: 1-cos' (x) lim

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Q: lim x → ∞ cos(16/x)^(13.32x^2)

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

A: The solution are next step

Q: cos(²²) – 1 ()- lim 7 x3

A: Given that, limx→0cos(x2)-17x3 By using limx→0cf(x)=climx→0f(x), where c is constant.…

Q: 1 2. lim cOs X -

A: The given function rewrite as

Q: {) Lim 1-cos Scos2x 7 メー)○ x2

A: Given: limx→01-cosxcos2xx2 for evaluating given limit, we use L hospital's rule according to L…

Q: tan (2x) 3. 24. lim- %3D .3

A: We replace tan(2x) by sin(2x)cos(2x)…

Q: lim xS0 cos2x - cos x / x^2

A: To find: limx→0 cos2x-cos xx2

Q: i) lim cos x-0 7 πCOS²x x²

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Q: lim х-0 Arcsin x II

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Q: 1- cos(x/6) lim II

A: Solve the limit

Q: tan 3x 18. lim 1-cos x 19. lim -0 tanx

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Q: (а) 1- cos 4x lim x? x-0 5-х (b) lim- 45 Vx-1-/2x-6 312 -t- 2 lim 1² -1 (с)

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Q: 1 COS X 13. lim- ズ→0 14. lim e -3x+4 15. lim 4x+7 ー-00

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Q: lim 1- cos ( X00

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Q: 3/x – 3 (k) limx→-∞ 5 - x x³ +1 (1) limx→-∞ Cos -0- x6 +x5 + 100

A: For (k), We need to find limx→ -∞ x-35-x3. So,            limx→ -∞ x-35-x3We know that,…

Q: Find the limits

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

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Q: 2sin x lim -0 e - 1 lim - 5 cos x o e - x - 1 4 - 4e* lim -0 xe

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

Q: 4.x - 1.) lim 32 1 — ебх-12 1+ 3x – cos x 2.) lim tan x

A:

Q: how do I solve this problem ?lim x-0 1-cosx/cos^2x-3cosx+2

A: First we use substitution property of limit, and that's given an undetermined form.Then we use…

Q: (1 – V3x lim tan- 3 + x x-00

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Q: 1 3. lim coS x 14. x-0 5. lim 4x+7

A: Given query is to find indicated limits.

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]

Q: 1 4. Find limx→0+ ( ) ex-1

A: Given :          limx→0+1ex-1-1x

Q: 26.lim(1 + cosx)2secx x 2 27.lim (G– x) tgx 27.lim ( - 2

A:

Q: 2- x - sinx 1. lim x00 x + cosx x*+2x-1 2. lim-0 x3-2x2+x

A:

Q: Question 3 arctan(3x) lim ( Select) X--0 ex -1 1/x lim x--0+ In x ( Select)

A: to find:- limit.

Q: (2-4* limx-1 sin(x³–1) X. x-1

A:

Q: find lim x-> 0, cos (12x)-1 / 3x

A: Given,              limx→0cos 12x - 13x Move the term 1/3 outside of the limit because it is…

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

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Q: 1+3x COS x - 2.) lim tan x

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Q: ure E-S theorem to prove the following lim (9x+5) = - 32. x→3

A: Here we will evaluate the required value.

Q: In cos 2.x 4. Find lim -0 In cos 3x

A: limx→0ln (cos 2x)ln(cos 3x)Applying L'hospital rule:= limx→0ddxln(cos 2x)ddxln(cos 3x)= limx→0…

Q: 1 x-1 x-1 ln x 3) lim

A: Explanation of the answer is as follows

Q: cos(x) - 1+ lim 14x4 Limit %3D

A: We need to evaluate the value of the following limit limx→0cosx-1+x2214x4

Q: cos(x)-1 lim-0 sin(x) limx-0 %3D = 1

A: Substituting x=0 in cosx-1xwill result in indeterminate form 00. Use L'Hospital's rule,…

Q: ¶/x x-0 sin (1 /x) Lim

A: To evaluate: limx→∞π/xsin(π/x)

Q: lim =cos メ→! X-1

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Q: 1-cos(x) lim x→0

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Q: 73. lim In(cos x)

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Q: 1-cos 2X lim x→0 x2 sec x-tan x lim X→- X- 2 x2+sin 3x lim r20 2x+tan 2x

A:

Q: lim cos xx x-0

A: