2.4.41 sin0 Use the relation lim =1 to determine the limit. 0 0 0 tan 4x lim x0 sin 5x Select the correct choice below and, if necessary, fill in the answer box in your choice. tan 4x O A. lim x0 sin 5x (Type an integer or a simplified fraction.) O B. The limit does not exist.

Q: lim cos G+5 +

A: limx→πcosx2+π4+12

Q: Which of the following is equal to the limit limx→0 sin^2 2x/xtanx A.  0  B.  4  C.  2  D.  8

A: We have to find the limit Use l'hopitals rule to obtain the limit. Keep on differentiating the…

Q: In evaluating S₂²² 2 dx 2 XV x²-4 is same as evaluating lim cos-¹(f(x)). Determine the value of f(x)…

A: We have to find the value of f(x) at given x.

Q: 1. Find the limit of the following functions: lim 00x/3+ cos x 1-cosx lim X-0 sin2x

A: To find the limit of the given functions

Q: Which one of the following is equal to lim 2 sec x – 2cos x :? The limit does not exist. a. О. 0.5…

A:

Q: Evaluate the limits: lim (cosx)cor*x 13. Ans: e12

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

Q: 1) Find the following limits. Do not apply L'Hospital's rule. x² +x – 6 lim 142 r2 - 2r (a) sin(1 –…

A: 1) a) From the given problem:   limx→2x2+x-6x2-2x   Simply we can write as:…

Q: Can i get help step by step with this problem?

A:

Q: - Evaluate only thre tan 30 lim 0 sin 80 x+1 lim X00x2+3 ii. lim,sx.g(x) if lim,s = 2 *+g(x)…

A: Solve only three subparts

Q: 1. Evaluate the ff. limits: -1 (e*). V1 – e2¤ sin' 2 lim (а) x→0- - 1 - (b) lim x + sin

A: Explanation of the answer is as follows

Q: 10 11. Calculate (8 – x) dx in two ways: (a) As the limit lim RN (b) By sketching the relevant…

A:

Q: I need help evaluating this limit. Please refer to the attached picture.

A: Before evaluating the limit, let's simplify the given function. Please see the white board.

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: 10. Determine which of the following limits exist and does not exist. a. b. 2 - 2 3x - 9 lim 25 * +5…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: 3. Compute ahi-fin Lireh-fi for the following functions: and lim h40 a. f (x) = sin x

A:

Q: 1. Solve the following limits. (a) lim 1-- V1+ r2 x Inr (b) lim 2-0 I+ In r 2 + sec (3r) (c) lim…

A:

Q: 5. lim sin TT (sin- 3. x→0 2

A:

Q: -1 Evaluate the limit: limx→o tan ( Inx) Select one: TT а. 2 b. –1 С. d. 00

A:

Q: ´sin(2x)-1) lim x→n/4 \ cos²(2x)

A:

Q: sin(9x) (d) lim 0

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

Q: 1. Evaluate the following limits. Using L'Hôpital's Rule is not allowed 3. lim (x-3) tan(9-x²)…

A: We will calculate the limits by Limits rule

Q: 3.lim X→π In(cos2x) (π - x)²

A:

Q: 2 Show that the following limit does not exist. lim Ty Cos y (r.9)-(0.0) 3r+ y²

A:

Q: Attempt 5 Question 18 of 19> Evaluate the limit using L'Hôpital's Rule 13x3 lim x0 sin(x) x (Use…

A: Here we apply L Hospital Rule:

Q: Can you help me step by step?

A: First move the limit inside tan. So that the limit is on terms with t only.

Q: (a) lim,+0 In(2) (d) lim, tan(z) (b) lim, +0 x/x (e) limz+0 re (c) lim, - cos(x) (f) lim, →0+ x²*

A: L hospital

Q: 1. Solve the following limits. (a) lim T→-∞ V1 + x² x In x (b) lim x UJ + x 00x 2+ sec (3x) (c) lim…

A:

Q: 2. Only one of the following funktions has a limit in the origin. Determine that limit and show that…

A: Now check limit exist or not  Find limit of two different path Find limit along y axis so plug  x=0…

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: 2. Evaluate the following limit. lim (1– sin 3x)"* x-0*

A: It is in indeterminant form so we have to take log on both sides

Q: What is the value of a if the limit of the function is 3, given by еах —1-ах lim X→0 ex2. = 3? -cos…

A:

Q: Compute the following limits, if possible. You may use L'Hospital's (Bernoulli's) rule if it…

A: Using l hospital rule and (a2 - b2 ) =(a-b) (a+b)

Q: Compute the following limits, if possible. You may use L'Hospital's (Bernoulli's) rule if it…

A:

Q: Calculate the following limit: lim(2r)ª sin(12 ).

A:

Q: IS (5– 2w*) sS (w) s (5- u²). for - 1s w s1. Find lim f(w). 2 does not exist O Find the limit sin 50…

A: NOTE: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost…

Q: Q 4. Evaluate the following indicated limits. 5x* +3x +5 tan x (а). lim x* +2 (b). lim x0 x

A: Given: a) limx→∞5x4+3x2+5x4+2 b) limx→0tan xx

Q: 3) see the attached file 3-the limit of this function cos x-(2 cos 2x -1) lim equal to 1-cos x A)2…

A: Given function is ; cosx - (2cos2x - 1) /(1-cosx) at x tendes to zero we find the limit .

Q: 1. Find the limit of the following function sin 30.cot 50 lim 0.cot40

A:

Q: Can i get help with this problem step by step?

A: Given,

Q: 5. Evaluate the following limits: eh-1 a. limp→o 2h а. b. limx→1 1. x2-1 1 c. lim,»∞x tan d. lim,→1…

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

Q: 11) lim sin²y Y→TT 1+cosy

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

Q: Determine the limit. 5Tt 9) x→-T/2 lim COS cos (tan x)

A: Given  The limit is

Q: Q14. The value of lim et3 -x tan x-cos x x2 is? -

A: use l hospital rule for solving for the integral.

Q: 2. Construct a table of values to investigate the following limits. 2r +1 lim a. 42 I-3 I+3 if z1

A: This is a problem related to the limit and continuity. Limit of the function is exist if right hand…

Q: 2. Complete the following tables of values to investigate lim 0 r+1 S(z) f(z) -1 1 -0.8 0.75 -0.35…

A:

Q: Can i get help with this problem step by step?

A: Firstly, we multiply and divide by thita and then we use the result that limit of sinx/x =1 as x…

Q: Evaluate the following limit.         lim           ln 3sqrtxy (x,y)→(27,e^9)

A: Given,         limx,y→27,e9ln3xy

Q: 1. For each of the limits in parts (a) - (c), determine whether the limit exists as a number, as an…

A: We need to find the limit of the following.

Q: 16) [5] Compute the value of the following limits using L'Hôpital's Rule: Ax -1-4x a) lim x40…

A:

Q: Compute the following limits, if possible. You may use L'Hospital's (Bernoulli's) rule if it…

A: We need to find limit.