x² +9 lim tan 9 - x

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

Q: tan 2x 9. lim 2x

A: Explanation of the answer is as follows

Q: 1 1 lim x→1 2 In x 2x-2

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Q: lim X--1 メ+ (x+1)2+ 3

A: Let L is the value of given Limit.

Q: 4) lim x2e-x

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Q: 5-lim メ→1 1-X 一

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: evaluate the limit.

A: Given:

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A: The notation indicates that the limit is the value the function approaches to from the left of the…

Q: Evaluate the limit.

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Q: Find the limits

A: Recall

Q: QI/ Find the following 1- x - 2 lim x--2 x2 - 4 lim (5 + lim (5+) 0-ズ 3- 2x2 +3x lim x0 5x2-2x 2-

A: 1)         1) limx→2x-2x2-4            = limx→2x-2x-2x+2           = limx→21x+2           =…

Q: 1. lim (5x+2) ス. lim ar-5 3 Xター Xコキ

A: Given: 1. limx→-15x+22. limx→7 2x-53

Q: tan 5x lim x-

A: Consider the following limit: limx→0tan5xx Apply L'hopital rule to the above limit:…

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(5x) 2. lim 3x

A:

Q: Q1: limx→n tan(x) is X-T

A: The given function is tanxx-π. Evaluate the limit as follows. limx→πtanxx-π=tanππ-π=00 Since 0/0 is…

Q: 19) lim (x2 4x - x) +

A:

Q: x' -1 lim 2x +x

A: in the given problem we                                         limx→∞x3-12x2+x To find the above…

Q: tan (5x) lim x0

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Q: 1. 2. 3. () ) lim lim 2 tan lim (x²–16) x+2 - x →4 4-x х -3 х-2

A: Note : According to our answering guidelines we have to solve only 3 sub parts (if multiple subparts…

Q: (1 – V3x lim tan- 3 + x x-00

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Q: lim -7 tan x X→(11r/2)

A: solution given below

Q: x+1-cos²(x) 3sin(x) 7. Find lim

A:

Q: e3x-1 lim X0 tan x

A: Consider L=limx→0e3x-1tanx L-Hospital Rule :limx→0fxgx=  lim  x→0f'(x)g'x

Q: Calculate the limit

A: limx→∞ arctanx2+99-xApplying Chain rule: =-π2limx→∞ arctanx2+99-x=-π2  Decimal:   -1.57079…

Q: 23. lim X-00 x2 - 1 – 1

A:

Q: tan 3x Find lim x0 tan 2x

A: We have to evaluate the following limit: limx→0tan3xtan2x

Q: ズー1 2. lim X-3 エ+1

A: Consider the provided expression, limx→3x-1x+1 Evaluate the above limit.

Q: tan3x lim 20 In(1+ x)

A: limx→ 0tan3xln1+xApplying L'Hopital rule=limx→ 0sec23x· 311+xPut x=0=sec23· 0· 311+0=3

Q: 21) lim x-4/In x X-0+

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Q: a lim 6. *a Jx- Ja -x

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Q: 25. - lim (tan x)*om

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Q: 2) lim (x – 1)tan- 2

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Q: [3sin(θ)*cos(θ) - θ]/ [tan(θ) - θ]   lim θ -> 0

A: Let  f (θ) = [3sin(θ)*cos(θ) – θ] / [tan(θ) – θ].Find the limit of the function as θ approaches 0.

Q: ) Lim Ji-x³ メ→1 TI-X° 3 2

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Q: 9. 4. lim X-3 x2 - 9

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: 9. lim(4secx-4 tan x)

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Q: tan(4x) lim x-→0 tan(5x)

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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: tan³x 3. Evaluate lim x→0 cosx-1

A: While finding the limit of any function, suppose that we have one of the following cases, where a…

Q: 1. lim (x - 2r)

A: since u have asked multiple questions in a single request so we will be answering only first…

Q: 1 lim(x²-3x+1) 3. lim tan(x²) 7. lim 2²-1-2 x²-4

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 24) lim x sed + X 2 x-0+

A: First we try to find the limit by substitution

Q: lim lx-1| х>1 1-х ?

A:

Q: 3] x+8 - 2 i lim

A: