In x lim x00 xl/2

Q: 1 + lim *-1 x+1

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Q: / Find Lim X. tan' 2 X X-100

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Q: In x? c) lim- X-0 cotx2

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Q: 1) Evaluate lim 10 VX-5 X-25 x25

A: We can find the limit as below.

Q: Compute |4x – 12| lim x – 3

A: To evaluate:limx→3-|4x-12|x-3 Solution: we know, Modulus/absolute value function is defined as:…

Q: 1. lim 2x

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Q: In(1+x) -x cosx -1 1. lim x-+0 7- In(2x + 3) 3. lim x-00 In(5x -2)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: x+1 lim,-o lxl

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Q: Evaluate e2x – 1 lim- X

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Q: 1+5x lim 2-3x X→+∞

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Q: x² + 6x + 5 lim X--1 x +1

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Q: x²ex-In(1+x)-1 3. lim x→0 xCos x

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Q: tan(3x) lim x→0 2x2 + 4x

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Q: 06. lim, ,xCsC x xcsC X

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Q: 9x + 1 lim x - 1

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Q: x +1 limx→∞ х3 — 1

A: Given that : limx→∞x+1x3-1 We know that limx→∞1x=0.

Q: 10) lim (In x)2/x X00

A: Evaluate the limit in the following way:-

Q: Calculate 14. lim (√x² + 1 - x). X18

A: Using series expansion about x =inf

Q: 1 57 lim x+1

A: 57. Given limit is : limx→∞1x+1x To find the value of the limit.

Q: 1. lim x- 2x + 6

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: .2 Find lim x+Vx +5x X→-00

A: To find:-

Q: Evaluate the limit.

A: Given: limx→-∞4x-325x2+4x for finding this limit we take x2 common from denominator and x from…

Q: 10 lim ]- Vx 「 メ→」 ーメ

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Q: 1+1 lim 11m +51

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Q: 4. lim x5 – x* – 2x3 – 3x2 – 2x + 1 X--00

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Q: Evaluate 1 1+x)s - (1-х) x)8 lim X - |00

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Q: 1) lim x100+500 ex

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: |x| +x lim Lx-00 x +1

A: Divide both numerator and denominator by x.

Q: 10. Compute lim(1 – 8x)/x.

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Q: 1 11. lim -1- |x +1 (x+ 1)2 + 3]

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Q: EVALUATE : 1-COS2(X - 2) LIM X-2 X - 2

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Q: lim (In(3x + 1) – In(2x + 1))

A: To evaluate the below limit

Q: Calculate the limit.

A: We have to find the limit: limx→∞ln3x+1-ln2x+1 It is ∞-∞ form. Simplifying further using logarithmic…

Q: Evaluate L = lim(x→0) (e-x-1)1/lnx

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Q: In(x + 1) – ln (2x) lim X→1 х2 — 1 II

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Q: In (1+x) lim

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Q: tan(31x) lim x → 0 5x

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Q: 22) lim (In x)4/x X-00

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Q: In(x) lim x+0o x1/8

A: The given limit is,

Q: 5. lim In(2x* + &x) – In(5x' +7) x 00

A: To find:-

Q: 4. Find: 2x c) lim X+00 x10

A: Basics of Limit & Functions.

Q: 8. Find lim x² In x x→0+

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Q: Evaluate

A: Given: The limit expression as limx→∞lnxx To find: The value of given expression.

Q: :- 3) lim (x2 – 1 X→1

A: To find the limit of the following function

Q: d. lim+ In 1000 X X5

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Q: In (x) lim x3 n-00

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Q: Find: x3-x2+x-1 a) lim x-1 x+lnx-1

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Q: 1 lim х+1+ х — 1 In x

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