Find the,* x2 - 1 lim I-1- x2 + 5x + 4 O -2/3 O 10 O undefined

Q: Compute the following lim (h+5)2 + 25 lim

A: given

Q: In(x³) Compute lim x²

A: Given: The limit limx→∞lnx5x2, To find: The value of given limit.

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: Find the limit: 5 cos(n) (8n-1)(n+10)) lim + n- 00 in 9n2+n+3 ||

A: on solving this we get the

Q: -) lim 2ma 1 1 In x x² – 1 x→1 |

A: Given that: limx→112lnx-1x2-1

Q: Compute each of the following limits. (a) (i) lim 7x²5 x→-1 x²-25 (ii) lim X-5 x+5 (iii) lim x+2 x-2…

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Q: Describe the left end-behavior off (x) = x´+4x+ 1 o im *+4x+ 1 = -00 lim x²+4x+ 1 x²+4x+ 1 o lim = 0…

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Q: 4-Find the limmts of the following x-1 1. lim Vx +3-2 2. lim x 3x - 6

A: 1) Evaluate the given limit by rationalizing denominator as follows.…

Q: In(1 – x) + x + lim 7x3

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Q: п+(-1)" (2n + 1) Sn

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Q: Compute lim n · (Vỹ – 1). | n→∞

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Q: 2) Calculate lim ( In(3x + 1) – In(2x + 1)). -

A: Since you have asked multiple questions, we will solve the first question i.e., Question-(2) for…

Q: Find the lim x→2x-2 x2-4 O 3/4 O 1/4 None of these O undefined

A: Given query is to find indicated limit.

Q: 2+ 1 ** Evaluate lim - X+ oL dt A B none of these 1- e? 1 4

A: Given that,  Now taking the integral term,

Q: Use the results of Section 2.2 to evaluate lim (5x – 3 0.2545454545 x-3 11 symbolic formatting help

A: To evaluate the given limit.

Q: 3. Solve for -). the lim |t In(1 +

A: The given expression of the limit is: limt→∞tln1+3t

Q: Present a “DELTA – EPSILON" proof, proving: prove th the de lim (3x – 7) = 5 X-4

A:

Q: (a) n+ (-1) 2n lim

A: limn→∞-1nn+12n

Q: 15.) Show that lim((2n)/"): 1/m =1.

A:

Q: Show that lim n->∞ (1 + x/n)^ n = e^x for any x

A: Express (1+ x/n)^n using e in the base

Q: Use the definition to show that 4n – 5 lim 2n + 3 - 2. n00 3.

A:

Q: 1-a limz→1 =? O -2 O 1 O Does not exist

A: find limit

Q: 17. If lim- X- 200 – 4n + kn² then k =

A: Given

Q: Compute lim 1+-

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Q: 3* – 1 compute lim V1+x -1

A:

Q: ,2 30. lim x In x

A: Topic = Limits

Q: 2- Determine lim[ v( x-1000)+10]/x x-0

A: Given problem:-

Q: Find the Linmiti lim (xt +2X) メ→ - o

A: Limit of a function.  End point Behaviour.

Q: Compute the following limits. (1) lim Ix-1 x-1 x-1

A:

Q: (In x)² lim

A:

Q: Prove that lim vn+1= 1. n-00

A:

Q: 14. Find the following limit x +4x+3 lim 2 x-3 x +2x- 3

A: Ans-1/2, and the detailed solution I have uploaded in handwritten....hope you will get it...thanks

Q: Find the lim inf (xn) and lim sup (xn) of Xn = √1 + n² 2n - 5

A:

Q: Evaluate the limit. lim 3 x-1 O-1 O1 O3 Does not exist

A:

Q: Find the following Lim->0 (x1/3 + 9x1/5)  /  (6x1/2 - 4x1/4)

A:

Q: 1. Use L'Hospital's Rule to compute In(1+x) – lim | x2 2 Compute

A:

Q: 1-Evaluate each of the following: 1. lim 2 2. lim

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Q: In (1+x) lim

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Q: (1) Find the following limit: x2 – 5x+6 - (a) lim x-2 x2 +x-6 ex +e-x - 2 (b) lim x2 In(x) (c) lim X…

A:

Q: In(4x+3) lim 8x+7

A: Given: limx→∞ ln(4x+3)8x+7 The highest power of the denominator is 1 Divide each numerator and…

Q: 1. Evaluate each of the following: x3-64 a. lim X4x2-16 x-1 b. lim x-1 vx+3-2 1 1 C. lim 4 X→4ズー4

A: a)  limx→4 x3-64x2-16 = limx→4 x3-(4)3x2-42= limx→4 (x-4)(x2+4x+16)(x-4)(x+4)     ... Use (a3-b3) =…

Q: Compute the indicated limit. 2x2 + 5 lim x2 – 4 x -00

A: Divide the numerator and denominator by x2 and substitute the limit then simplify.

Q: 4- Prove that lim- tan 2x 5-lim 2(-3+x)²-18) x-0 X-0 2.

A:

Q: 1 Evaluate: lim - In x X - 1 X-1 O-1 O 1 O 1 1 2 1/2

A:

Q: please help thank you

A: We need to prove the given statements, which are,

Q: 8. Find lim x² In x x→0+

A:

Q: Evaluate: lim       (1-cos-1x)csch(1-x) x→1-1

A: To evaluate: limx→1-11-cos-1xcsch(1-x)