2. Find the limit of the following function sin(x? – 4) - lim x-0 x - 2

Q: Find the following limits, using L'Hospital's Rule where appropriate. cos(mx)- cos(nx) (a) lim x-0

A: The objective of the question is find the limit.

Q: Find the following limits if they exist. 1 lim 1 a) b) sin x-1 lim cos x

A:

Q: Evaluate the following limits. x + sin(x) + 2vT x + sin(x) V1+x – 1 – 5 a) lim 2 b) lim r2

A: Given: a  limx→∞x+sinx+2xx+sinxb limx→01+x-1-x2x2

Q: 4) Find the following limit or show that it does not exist. sin(ry) a) lim (1,y) (0,2) b) lim…

A:

Q: 1. Find the following limits. 2 sin(2x) – x (a) lim

A: Our Aim is to find the limit of the following expression given below:-limx→0 2 sin (2x)-xx-(i)

Q: Use l'Hôpital's Rule to evaluate the limit. COS X lim -X- 3. 3. O A. -3 V3 O B. C. 2 O D. -/2 1.

A: We have to find limit As per guideline we have to solve one

Q: B) Evaluate two of the following limits (Without using calcu 1 1) lim 1-cos2 x

A:

Q: Determine the following limits analytically.

A: Given, limx→π3sinπ3-x2cosx -1

Q: I. Evaluate the following limits. x sinh x 1. lim x-40 cos 3x – 1

A:

Q: O:: A- Find the limit for the following functions: - tan2x 4x-3 3x3-9x²+x-3 1- lim x→0 sin4x 2- lim…

A: A) Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: D-the result of the following limit is 1² lim x-0 In (sec x)

A: Let's evaluate given limit.

Q: Find the limits

A:

Q: 3 (b) lim (sin r) In x I 0+

A: We have to find limit

Q: 4. Use the sandwich theorem to find the following limits: sin x (a) lim cos x (b) lim

A: a) -1≤sin x≤1⇒-1x≤sin xx≤1x⇒limx→∞-1x≤limx→∞sin xx≤limx→∞1x⇒0≤limx→∞sin xx≤0⇒limx→∞sin xx=0(using…

Q: C- The result of the following limit is lim 1-0 sin t² t f

A: limt→0sin t2t

Q: Find the limit. O 75 π O O' O O I 00 D8 - 150 lim sin¹. 5 x X→ 0 ¹7x

A:

Q: q//// find the limit of the following: 1- lim x* cos n-0 2- lim vx? + x³ sin n--0

A:

Q: What is the limit of (e^x-e^-x)/( sin (x)) as x approaches 0?

A: we have find the value of limx→0ex-e-xsin x

Q: sec x -tan x lim -X 2 X- 2 .2 x²+sin 3x lim X→0 2x+tan 2x

A: Note:-Our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: I/ find the limit of the following: 1- limx cos 2- lim V +x sin

A:

Q: 2e What is the limit of the function f (x) = as x + xo ? 1-e

A:

Q: (sin r' 1/r (а) lim I >0

A:

Q: Evaluate the limit: 1-Cos(9h) lim h h >0

A: Find the limit When we plug in 0 for h, the denominator becomes 0 So it is undefined.

Q: C-The result of the following limit is sin t² lim 1-0

A:

Q: Find the limit of the following. V3 sin 0 lim 0→t/3 3

A:

Q: Q2.) Find the limit lim X+x cos x 1. X→ 0 sin x cos x

A: We find limit x+ x cos x lim X → 0 Sn x cos x

Q: Compute the limit as xà0 of f(x)=(sin(61x))/x, if possible.

A: To find:limx→ 0sin61xx

Q: Evaluate the limit of a. 3 b. O tan 2x-2sinx as x approaches to 0. c. Undefined d. Infinity

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: 1- cos x lim x-

A: Given:     To determine: value of the limit.       Concept: L'Hospital rule:

Q: (c) Find the following limit: Vx +1- 2 lim X-3 x(x - 3) V9x2 + 5 lim x-00 X- 1 cot 0 csc lim sin e

A: Given we have to find the limit

Q: Calculate the following limit: 9.sin(x) lim x +0 10.x

A: Note: Let limx→afx=M, where M is finite and let c be a constant. Then, limx→acfx=climx→afx

Q: Q1: (a) Find the limit of the following: x2+3 sin x 3) lim x0 ex-1 1-cosx 1) lim 2) lim ++zx 00+x X0…

A:

Q: Find the following from the graph of the function f(x) a) lim f(x)+ S(1) = b) Is the limit f(x)…

A: Graph of the function is given, we have to find its limit

Q: Evaluate the limit of the function below * X – COS X lim O infinity pi O 1 о

A: From the given problem:   limx→∞x-cosxx   As we know that if:   limx→afx±gx=limx→afx±limx→agx   So…

Q: Calculate the following limit: lim(1x)4 sin(13a x→0

A:

Q: Q3: A- Find the limit for the following functions: - tan2x 4х-3 3x3-9x2+x-3 1- lim x-0 sin4x 2- lim…

A:

Q: Evaluate the following limits. x + sin(x) +2Vã x + sin(x) a) lim

A: NOTE***As per bartleby guidelines for more than one question, only first to be answered send other…

Q: Evaluate the limits of the following functions, and verify your answer. (6x+3y)sin(2x+y) 4x +4xy+ y…

A:

Q: Find the following limit limx→0 (1/sin x − 1/x)

A: limx→01sinx-1x=limx→0x-sinxx·sinx=0-sin00×sin0=00

Q: Find the limit of the following: lim     ln(tan(x)) x→π+

A: Given function is

Q: 11) lim sin²y Y→TT 1+cosy

A: sin2y=1-cos2ya2-b2=(a+b)(a-b)

Q: : A- Find the limit for the following functions: - tan2x 1- lim X-0 sintx 4x-3 2- lim x--0 Vx2+1 3-…

A: L'Hospital's rule states that for functions f and g which are differentiable in an open interval…

Q: Evaluate the following (you may use Limit Theorems). x²–4x+3 1. lim X-1 x2-1 2. lim 3t-2 sint+(ei–1)…

A: The limit of a function limx→Xfx=Y means that value of  function fx can be as close to Y by making…

Q: I. Evaluate the following limits. x sinh x 1. lim x-0 cos 3x -1

A: Since you have asked multiple questions, as per Bartleby guideline, we are allowed to answer only…

Q: Find the limits of the following: A. lim X-3 B. lim x sin-

A: A. Let L=limx→3x-21x+13 ⇒L=limx→3x-2x+33x        =limx→33x(x-2)x+3        =3(3)(3-2)3+3…

Q: Determine the following limit. sin x lim x0 X + 16

A:

Q: O3: A- Find the limit for the following functions: - tan2x 4х-3 3x3-9x2+x-3 1- lim x→0 sin4x 2- lim…

A:

Q: Find the following limits when they exist: 1. lim g(x)   x to 1

A:

Q: 1. Find the following limits: sin x a) lim- b) limxe*

A: Solve limit as general

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.