Evaluate lim is O -1/2 O 1

Q: lim -s)

A: 7) Given- limx→5-6x-52 To Find- The value of the above expression.

Q: In (e – 1) In x 34. lim

A: The limit which is to be evaluated is given by limx→0+lnex-1lnx

Q: Find lim Itcos 2X メ 니(x- 폰) 2

A:

Q: Find the postive integec N such that implies 4 a) lim P = 10 000

A:

Q: +∞o Suppose Στ% από = 5. What is the value of lim an? n-0

A: Here we use the theorem of convergent series to determine the limit.

Q: Compute (a) lim rlnr (b) lim r100 200

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

Q: Evaluate the limit. 2х — 2п lim x-n |x – 1|

A:

Q: Compute lim (Vr? + 1 – x).

A: Given limit: limx→∞ x2+1-x

Q: | The value of lim is Select one: O a. O b. None of the these O d. o0

A:

Q: Find the following: -3 lim A)) x x+1

A: Consider the given limit. limx→∞x-3x+1x2 We can write limx→∞x-3x+1x2=limx→∞x+1-4x+1x2=limx→∞1-4x+1x2…

Q: Determine the infinite limit. 2+ 4x lim x-2 x - 4x + 4 00 8 O O

A:

Q: Use L'Hospital's Rule to evaluate lim (1+-) n

A: Given function is Apply exponential rule

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: lim (r -+

A:

Q: Calculate lim where an 2". an+1 n00 an

A:

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

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

Q: Use the e-N language to show that, if lim a2n lim a2n+1 A, then lim an = A. n00 n00 n00

A:

Q: Find lim an if an = n!+3" 1+n OA. 0 B. C. 00 D. OE. 1

A:

Q: Show that lim (1 + = e. lim

A: To prove:

Q: Find the limit: (1 -4)" lim n- 00 in

A: Here we have to find;  y=limn→∞1-2n3n

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: In x Evaluate lim x→0 x2

A:

Q: Evaluate r (n+) lim as n- 00 VnT (n+1)

A: Question: Evaluate: limn→∞Γn+32nΓn+1

Q: Determine the Infinite limit. 9- x lim X8 (x - 8)2 O 00

A: In this question we have to determine the infinite limit if it is positive or negative.

Q: Evaluate -5x lim,→0 tan x O -5 O 1 O 5

A:

Q: Evaluate lim In(x - 16) x→4+

A: From the definition of limit, limx→a+f(x)=limh→0f(a+h)

Q: Evaluate lim,0 x+1 O 1 O 2

A:

Q: Evaluate lim-o(5x – 1)3/*.

A: The limit of a function (expression) is a value of that function (expression) approaches as the…

Q: Evaluate the follow lim In(x) =

A:

Q: Evaluate the limit: lim X-7 X+7. O A) O O B) 1 O C) -o D) +00

A:

Q: Show that lim (1 – 2²)"dr 0, n 00 0,

A: To show limn→∞∫01(1-x2)ndx=0 without attempting direct intergral.

Q: Evaluate: lim (-+)* as c approaches ∞

A:

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

A:

Q: Prove the following statement: if lim,∞ an = L and lim,∞ An = M , then L = M

A:

Q: 11. If 0 < a < b, determine lim Qケ+! a" + b"

A: First we take comman bn+1  from numerator and bn  from denominator and then we  use lim ban=0.

Q: 1+ x Evaluate lim x x2 In -

A:

Q: (b) Evaluate the following- (i) Lim (ii) Lim -Wi

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

Q: Evaluate: lim ex O a, undefined or oc Ob.0 Oc 1 O d.-1

A:

Q: 1. lim x→" x² - 3x

A: As there are multiple questions, first one is solved here.

Q: Evaluate lim (e – 2x) -

A:

Q: Evaluate lim, o[cos()].

A:

Q: Find lim Vx-1 メー メーラ →o

A:

Q: Evaluate lim where k>0 X-k

A:

Q: Evaluate lim does not exist O -00 O +00 01

A:

Q: Find the value of lim f(x), if 7x +2 x 5 f(x) = O 20 O 35 O 13 O 8 O 40

A: Solution:Givenf(x)=7x+2x≤53x+5x&gt;5To find:limx→5+f(x)

Q: Find the limit. O 0-00⁰ 05 O 8 0 -15 lim x² + 5x -50 x + 10 X→-10

A: Our Aim is to find the limit of the expression given below:-limx→10 x2+5x-50x+10 -(i)

Q: Evaluate I (n +) lim as n → ∞ VnT (n + 1)

A: Given: limn→∞Γn+32nΓn+1

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.