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

Q: 1 ? Why? 0* In(x) What is lim 10 8- 4 2 5 6 8 10 -4 -6 -8 -10 3.

A: The graph of 1lnx is, From the graph we can see that, As the value of x tends to 0 from the right…

Q: What is the value of lim (1+ 4 )": п 4n O-1+i V2 O 1+i V2 O -1-i V2 1-i V2

A:

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

A:

Q: Зх-7 (1) lim x--o V4x2+x-11

A: Explanation and solutions is given below....

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: -) lim 2ma 1 1 In x x² – 1 x→1 |

A: Given that: limx→112lnx-1x2-1

Q: 1. 2. 3. lim 2 tan () lim – () 2-16 (x²–16 x+2 lim х -3 х-2 x →4 2 4. 7. x2 -7x+12 5. lim x →4…

A: Limits are given, we have to the find the given limits

Q: Use series to evaluate the limits in Exercises

A: 37. limx→0ln(1+x2)1-cosx38. limx→2x2-4ln(x-1)

Q: 10 Find lim x12s 3. X->- X -25 2 lim Jx +3 - 2 メ→」 O lim Sitx - -x 3. 1-X 2 X

A:

Q: 1) lim (1--)*

A: As per our guidelines we can solve only 1 question. The rest can be reposted.    In question  no 1…

Q: Q.1 Evaluate the limit x-3 sin2x 1) lim(2x2 +x + 1) 2) lim 2-9 3) lim x-1 x-3 x2-x+1 4) lim x+00…

A: We have to find limit

Q: 6n2 + 3n = 3 2n2 – 5 Prove: lim

A:

Q: Show that lim→0 x2cos(1/x^2) = 0

A:

Q: 19. lim (-1)"+' (") does not exist. n00

A: Given  The limit is limn→∞(-1)n+1n-1n

Q: 9. 1 2- 1 lim X-1 1 x2 - x2 - 2x + 1 3x + 2

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 3. Determine the infinite limit. x² + 3x lim x--1- x2 + 2x + 1

A:

Q: 1- Evaluate the limit a-Limx²-4/(x²-x-2) X-2 b- lim [In(cos(x))]* c-2-(X²+4) ¹/2²/sin²x x-0 x →0

A: L'Hospital rule:- If a function is of the form p(x)q(x)   then if limx→a p(x)q(x)  is of 00 or ∞∞…

Q: lim In (x°) x2

A: We have to evaluate the given limit.

Q: Find the limit.

A:

Q: 8-x lim - >2 (x-2)(x+1) is O a) -4.

A: In this question, the concept of limit is applied. Limit In mathematics, limits are the points at…

Q: Find the limits

A: To evaluate the limit: lim1x2-4 (a). When x→2+. Evaluating the limit. limx→2+1x2-4=12+2-4=10+=∞…

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

A: Given

Q: 19 let ɛ > 0 be arbitrary. Determine & as a function of e 2 In formally proving that lim -x + 8 1/4

A:

Q: 6-2x Prove by definition that lim 4. 3

A:

Q: 5. Prove that lim Show your t→-2 t+2 complete solution.

A:

Q: 27+x- 5 Compute lim II-2 x+2

A:

Q: 9. - (a) Compute lim I--3 I-3 sin (0) 0 0 2 cos2 (0) -2 (b) Compute lim 1 (c) Compute lim I-0 I -

A: a. limx→3x2-9x-3limx→3x+3x-3x-3  x≠3 ,a2+b2=a+ba-blimx→3x+3=6b. limθ→0sin2θ2cos2θ-2Using L hospital…

Q: H-w in limits 3-3- 2.21 9 iaam ) Lim. 1- CosC2K) Sin (24) 2 - メャ3 2) Lim x2x -3 3) Lim (X+4}-16

A:

Q: In(x)-In(a) 14. lim %3D Xa X-a (A) = (B) In(x)NT 92 anevni art

A: Given, limx→ alnx-lnax-a

Q: Prove the limit doesn't exist

A: cc

Q: 1. Evaluate the limit: 5 - x lim x→5+ (x – 5)2

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

Q: 12-x-x 1- Prove that lim -7 %3D x-3 V6+x-3

A: our objective is to find the limit

Q: 5. Evaluate: lim, 0 2x- x2 sin a 1 Does not exist 2.

A: lim (2x-x2)/sinxx→0

Q: Find -x-1 lim 1-0 I² O does not exist O-1/2 O 0 O 1 O 1/2 O Other:

A:

Q: 2- -1- -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 3 -1 -2 -3 --4 -5 -6 -7- Provide your answer below: lim f(x)…

A:

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

A:

Q: 7. Compute the limit to infinity: 4-2+3r+1 a lim 7+3r-r+ 12

A:

Q: 6n + 2 3. n→∞ 2n + 1 3. Using the definition (i.e. N, E), prove that lim

A:

Q: 7) Show that lim = 1. 200 (z-i)3

A:

Q: 2 In x lim x→+∞

A:

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: 8. 10. 11. х2+6х-7 lim x →0 —х2 +7х -12 lim x →3 lim (3x – 2) x →3 - х-3 х-1 15. 13. 14. 2х3_54 -4…

A: Given that some limit problem and we solve this problem by using general property of limit.   Here i…

Q: 4. Determine the infinite limit. lim In (x – 2) x-2+

A: Solution is here

Q: 1. 3. 8x lim *0 5 х— 7 4х+1 lim 3 2 +2 x +x+ 27 lim 2 X-7 X-0 2 X - 4

A:

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: 8. Find lim x² In x x→0+

A:

Q: 1. lim ux-121 X-3

A:

Q: Find the limit.

A: Given,