Question 4. Evaluate the following: (a) /æ sin æ dæ, (b) / tan (2) dæ, 2 - Væ (c) lim 2-4 x2 – 16 (d) / 10/n="d:

Q: Question 13 Not yet answered Marked out of 1.00 P Flag question x? +x-12 Find limg→–4 x+4 -1 -7 7…

A: Given that we need to find value of limit . Here we need the answer without explanation .

Q: Find the arc length of the curve y = x²/2 from x = 0to x = 1(Figure 7.4.4).

A: Arc length of curve y = f(x) is, L=∫ab1+dydx2dx

Q: sin(4x) is 4х The answer to lim Select one: а. 1/4 b. 0 1 С. 4 d. 0 е. 1

A:

Q: Question 5 22-16 Find the lim,4 I-4 O 8 O DNE O -8

A: We have to find the limit of given function (x^2-16)/(x-4) when x tend to 4

Q: sin 2r tan 3r (a) lim

A: We have to find

Q: find cos 0 el - (1 + h) 43. lim 0-0e" - 0 - 1 44. lim

A:

Q: Two metal strips are measured as 6.21cm and 1.529cm, correct to two and three decimal places…

A: When the metal strips are laid end to end, their combined length will be the sum of their lengths.

Q: sec20(1 – cos 0) lim 040 202

A:

Q: 3. Find the eYact Value. (Pre-Calcylus)

A:

Q: Question 13 sin(Va - 1) lim x - 1 (a) 1 (b) 1/2 (c) 2 (d) ∞ (e) none of these

A:

Q: IMAGE 3 i+ V+8j+ k) lim 1 In a

A: Here is the solution

Q: Question 5 part (iii) with detail explanation, steps, indicate any theorems or formulas

A: Leibniz integral Rule: Let a(x), b(x), f(x) have continuous derivatives, then,…

Q: Problem 3. Use the Squeeze Theorem to find lim, ,0+ (2/4 sin E). Problem 4. Sketch the gronh

A: As per bartleby guidelines we only give first  questions answers.

Q: (cos 0 -1) 4. lim 5. lim sec(20 + n)

A:

Q: QUESTION 7 21 lim 42 12 – 4 O 2 O DNE O-2

A:

Q: Question 1 sec42x Find -dx tanº2x -=(corº2x) ( 11 12 tan62x cot22x- - (cort2x) A - 1/1 (0 (A) B…

A:

Q: Question 14 Find Screen Shot 2021-10-05 at 8.13.33 AM.png Vh + 5-2 lim h→-1 h +1 DNE 0. 1/4 1

A:

Q: tan 8 TX lim sin 7x) x→0

A:

Q: 2. By hand, showing all steps, determine sin 4x sin 5x lim x sin 3x

A:

Q: Question 12 Evaluate: f 0 tan (0)d0 O E arctan 0 + arctan(0) 0 +C 21 O arctan(0) 0 2 arctan 0 + C 21…

A:

Q: 1 Ei=1 limn→00 n+i 2]

A:

Q: Question 2. Find lim sin (1 – 3e-/")e-/2. (Justify your solution.)

A:

Q: cos² (1 – cos?(1 – cos² (1...cos² 0)).....) cos“ (1...cos´ 0)).....) - - Evaluate lim TT (/0 + 4 sin…

A: Introduction :

Q: 5 cos 20-5 lim 40 0→0

A:

Q: In(cos ax) ? limx-0 In(cos bx)

A:

Q: Is the answer to the question shown in image 0?

A: To determine the right-hand limit of given function.

Q: Question 5 part (ii) with detail explanation, steps, indicate any theorems or formulas

A:

Q: QUESTION 18 Compute the following. |-8sin (x) +18csc (2x)cot(2x) dx

A:

Q: 15) lim cos (2x)

A: Let fx=cos2x

Q: Question 3 Differentiate 5* sec(e*) (A 5* sec (e*) [e*tan (e") – In 5] B 5X In 5 sec (e) [tan (e) +…

A: we have to differentiating  AS per guideline we have to solve one question

Q: Question: 4 i) Evaluate the following limits: a) lim x+9-1 b) lim * x +7x -8 1-sin x c) Find the…

A:

Q: 05. lim, (e* - 1)cos x

A:

Q: Question 1 lim xe-* X→∞ A. 0 = B. Co C. e-1 D. e E. 1 F. None of these.

A:

Q: cos 0 1. Find lim 0→0 02

A:

Q: Question 7 (1 point) lim_ sin (2x) = %3D Blank 1:

A:

Q: (1) Show that 2cos? (- x) = 1+ sin 2x. 3n (ii) Hence, sketch the graph of y = 2cos? (-x) for 0 < x <

A: cos(2theta)=2cos2(theta)-1 cos(pi/2 -theta)=sin(theta) Graph for given function is shown below

Q: Q1: lim,-1 x(1 – cos-)

A: The objective is to find the value for limx→1x1-cos1x Since the given function is continuous…

Q: Question 4 Prove that cot 2x = ;(cot x - tan r)

A:

Q: PROBLEM 4 (cos² x sin x-sin x cos x+sin³ x' lim Evaluate analytically the х2

A:

Q: QUESTION 16 In(cos(2x)) Evaluate: lim (п - х)2 O a. 0 O b.2 O C. 1 O d.-2

A:

Q: 1 31. lim cos 0 0→0 sin 20

A:

Q: Question 36 ex -1 Evaluate: lim *- o sin-lx A B none of the given choices D does not exist 2.

A: We have to find

Q: Problem 1. Determine if the following limits exist? If so, what are the limits? Give a 8-e proof for…

A:

Q: Question 6 then Wy is If w inverse tan 3xy z2 1+xy°z° 2xyz3 1+x*y*z6 O Xxyz 1+x?yz6 4-6 1+xy*z* 2,,4…

A: We have to solve the problem

Q: Problem 4 Find analytically (not graphically) the limit ´sec (2x) tan (2x) limg→0 Show all steps of…

A: Given limit is We know that sec(2x)=1/cos(2x) and tan(2x)=sin(2x)/cos(2x), therefore , we have

Q: 7.6 Find the exact value of the expression whenever it is defined. (a) arcsin 0 (b) arccos -1=D (e)…

A: A.  0,180 degree B. 180 degree C. 2/3 D. -1/5

Q: QUESTION 8 3 lim |r+1| + · I-3 O-3 O 2 2

A:

Q: Cos O tan 0 66. lim 0→0

A: Consider the given function. limθ→0   cosθtanθθ

Q: 7. lim(? - 4) cosュ=0 t+2

A:

Q: 1 – cos 3h 39. lim h

A: limh→π21-cos 3hh

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.