9) Evawate lim X-3 X→27 x^-x-2

Q: 4) evaluate lim x-->2 (2x2 - x - 6) / (x2 - x - 2)

A: Explanation of the solution is given below...

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

A:

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: Compute x-+xX lim X-700 It Ttx Sinx 2) Lim X-70 CUSX-1 X3-1 1L-X

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

Q: Find the limit at infinity: (root(x^4+3))/(4x^3+x)

A: Divide by highest denominator power of the function:

Q: Find Lim/x---- infinty (x4 - 6x)/(x2 - 2x)

A: The solution is given as

Q: SOLVE BY LIMIT DEFINITION 3x+1 2-x a) limx-2+1 limx→

A: Solution

Q: What is the lim of squared root x^2-4, if x ---> 2 ^+

A:

Q: 2 Compute limx→16; 1-x2 1 X-1

A:

Q: 5. lim X-0 e2x-1

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: Use a tble of functional values to evaluate: lim x-1

A:

Q: Estimate the value of the Limits 2x 2x lim -3+ x 3 and lim x-3 X-3 |

A:

Q: Evaluate the limit: 2x +10 lim x-5 x +2x -15 lim as x -> -5 of |2x + 10|| divided by x ^ 2 + 2x – 15…

A: Evaluate the limit

Q: solve limit as x----infinity for the function ((sqrt(b^2)(x^2)-(cx)))-(bx) using L'Hopitals

A: We have been given a limit that we need to evaluate using L'hopitals rule:In order to apply…

Q: Use L'Hopitals's rule to find lim →号 tan x n · 4/(2x-T)

A: L hospitals rule

Q: 1) lim (1- – - 3,

A: The given limit is limx→∞1-3xx

Q: 4x + x-1 lim 3x- x²

A: Here we have to find limit of the given function.

Q: Use a tble of functional values to evaluate: lim 2²–1| x-1

A: Given, We will calculate the value at some points and then will calculate the limit of given…

Q: lin 1-cost lim 5. H0 sint 4.

A: we have to find the value of the given limits: 4) limt→0sin2tt3sintt2 5) limt→01-costt+sintt+et-1t

Q: : limx->0(1/x3)

A: We have to simplify the given expression. The given expression is limx→01x3∫0xt2t4+1dt

Q: х —9 Determine lim V6 - Vx-3 x→9 |

A: HERE WEMUST KNOW ABOUT L'HOPITAL RULE

Q: ,2 30. lim x In x

A: Topic = Limits

Q: Find the Limit: 1. lim (2x + 5) x--7 3. lim(-x + 5x 2) 5. lim 8(t - 5)(t - 7)

A:

Q: (In x)² lim

A:

Q: In(1-cosx) lim x--0* Inx

A: Given,          limx→0+ln1-cosxlnx

Q: Evaluate the limit (inx)" 10 lim x+5+(In 31x+10+(Inx) ×つ

A:

Q: Evaluate * lim (2 – x)tan | x→1 O Option 1 O Option 2

A:

Q: Find limx approaching infinity (x+2/x-1)^x

A:

Q: lim (In(3x + 1) – In(2x + 1))

A: To evaluate the below limit

Q: 2x-√5+4x lim x→6 x-3

A: The given limit is limx→62x-5+4xx-3

Q: 4- lim Vsin x

A:

Q: lim x→め x th

A: Let L=limx→∞4+x2x

Q: lim x→5 (7x − 6

A:

Q: (-x X- if x < 0 15) lim X-0 X if x 20

A: Given: limx→0-x     if x&lt;0x        if x⩾0 To Find: The value of the given limit

Q: lim In(10x) x-0t

A: To find the below right-hand limit.

Q: Suppose that limx→2[f(x)+x2]=α. Find  limx→1(x+1)f(2x)

A:

Q: х2-2х-3 d) lim lim-3 х2-5х+6

A:

Q: Find lim as x--&gt;0 (1/x((1+x)^1/3)) - 1/x

A: Refer to the question, we have to find the limit of the provided function (1/x((1+x)^1/3)) - 1/x…

Q: /14-х-3 lim 1-V6-х X→5 4-Vx lim х>16 16-х

A:

Q: 5. Use L'Hopital's rule to evaluate ex +2 limx¬0 ex

A:

Q: 5. Use L'Hopital's rule to evaluate ex + 2 limx0 ex +

A: follow the next step

Q: 1 lim In csch (1– 2x,

A: Let L is the value of given Limit

Q: Find the limit.

A: Given,

Q: Evaluate

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

Q: d. lim+ In 1000 X X5

A:

Q: Evaluate limx=0 (e-ax - e-bx)/x

A:

Q: Estimate lim 16 4 is approaching to using a table of functional values.

A: We will use the L. Hopital's rule to find the limit of the given function. to find limx→ 4(16x-4x-4)