-1 Evaluate lim II +1

Q: 1[1 16 81 0: Evaluate lim

A: the question data is incomplete so that i can't help.

Q: Зх — 12 O Evaluate: lim x→4 3 – V2x +1

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Q: Evaluate lim x -> +00 (1 + 4/x)^(2x)

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

A: We can find the limit as below.

Q: 1 1 x +4 4 lim

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Q: х — 9 Evaluate lim x→9 /x – 3

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Q: 1+2 Evaluate the lim 1+2* 12 – 4

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Q: Evaluate et-2 lim x→2 _x – 2 1 O +∞ O 1 O -00

A: Use l hospital rule for finding the correct option.

Q: n Find lim am. An 4 ||

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Q: 1 (a²- a→1 (a²-4a+3)3 (а?+4а-5)2 4. Evaluate: lim

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Q: Evaluate lim (1)2

A: Introduction: Limit is a mathematical concept based on the concept of closeness that is used…

Q: -1 Evaluate: lim X+0

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Q: 12 lim *-3 x – 4 Evaluate x→4 3.

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Q: 1 - Evaluate lim II +1

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Q: Lim X-o413-xl-1 76-JC

A: Evaluate the limit.      limx→416-x23-x-1

Q: 1 Evaluate lim Gnx x→1+ 'Inx х-1

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Q: 11. (a) Evaluate: lim 5x

A: a) We have    limx→05x-83=5limx→0x-83                   =50-83                   =5083…

Q: - ах + а — 1 41. lim (х - 1)°

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Q: 27 44. Find lim x3 x - 3

A: If given a limit limx→af(x)g(x) results in an indeterminate 00 form. Then the L'hospital's rule can…

Q: x² 1. Evaluate lim x→2- x2 – 4

A: We will solve the problem

Q: Evaluate using substitution.

A: To evaluate: limx→4x-52 Solution: Given,limx→4x-52 The given limit is not in indeterminate form, so…

Q: 1 Evaluate lim (csc x)*- 2 X→- 2

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Q: 1) Evaluate lim -12. 3 9-x2 -3 Show every step.

A: lim  (-12)*(-x - 3)*3/(9 -x2 ) x-> -3 here 0/0 form so we use law hospital rule diffrentiate…

Q: Evaluate |x2 – 4| lim x→2 x – 2 O 0/0 O 4 O -4 Does not exist

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Q: ii) Show that lim - 1+22+33 +...+n' "]=1 1/n

A: Apply Cauchy Frist theorem on limit

Q: 23. lim X-00 x2 - 1 – 1

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Q: 10* – 5* – 2" +1 Evaluate lim-

A: The L'Hospital rule can be used to evaluate the limit of a function if the limit is obtained in the…

Q: 1 1 # 7) lim X-2 *- x+2

A: Topic - limits

Q: (XthP+| lim 4.

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Q: 37-2 Find lim

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Q: Evaluate lim (æ)/(2-2) e/2 O 1

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Q: 1 Evaluate lim 2 х>1 х-1

A: Solve for the limit

Q: Evaluate: 2 1. lim [√x²+x= √√x² + 4] ∞0++x

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

Q: -1 Evaluate lim

A: You know that:

Q: -t+2 Evaluate the lim (1 – 2)

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Q: п п Evaluate lim and lim 1+(;) " пн00 п i=1 i=1

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Q: 1+ x Evaluate lim x x2 In -

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Q: Evaluate x2 lim За - 10 - x→-2 x + 2

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Q: Evaluate lim ー1 3n+5

A: Given find  limx→∞x2-13x+5

Q: 216 – x3 - lim x → 6 x – 6 - 108 O - 108 - 24 O 72

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Q: 1 Evaluate lim x X+1

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Q: Evaluate lim (2 – x)an x-1

A: Given that a limit problem we solve it by using L'hospital rule . Here i attached solution of this…

Q: evaluate using substitution.

A: We substitute x=3

Q: -10 Evaluate lim0- x2 10 -00

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Q: 3. Evaluate lim Vh+6-3 h 3 h-3

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Q: 1 Find lim x → -5 Va2 +4

A: Given,

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

A: First we try to find the limit by substitution

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.