Question No. 1. a) Evaluate the following limits. i) lim 8a (cot 2.x)(csc r), ii) lim 8-1+ |s? + 2s + 1| |s + 1|

Q: Compute the following limits if they exist. sec r – 1 (a) lim z-40- 23 I – sin r (b) lim 1+0 x - tan…

A: L. Hospital RuleIf limx→a f(x)g(x) = 00 or v6c6 formThen differentiate f(x) & g(x) and take…

Q: 1. Determine if the following limits exist: 1² + y? (a) lim (1,y)→(0,0) e² +y² – 1 12 sin(y) (b) lim…

A: In the question we have to find limit.

Q: Solve 23. a. Show that the area A, of an n-sided regular polygon in a circle of radius r is An nr? 2…

A: 23 a.

Q: Question 1. Compute the following limit. You may use the fundamental theorem of calculus. n Σsin lim…

A:

Q: Question 2: Answer the following: a. Evaluate the following limit using L'Hopital's Rule. Vx? lim…

A: Evaluate the following limit using L'Hospital's Rule     limx→0Vx2eVx-1-x

Q: 2.2 a) Prove that lim,-2(x +2x – 7) = 1 using the e- ô definition of a limit. b) Find lim,-2 arccos…

A:

Q: 1. Find the yalue of the following limits..Show all steps by har cos(h) - 1 (a) lim h→0 sec2 (5h)-1

A:

Q: • Question 36 Find o for & = 0.1 for the following limit. lim 2x +1 - 49 エ>5 Input delta as an exact…

A: Please see the answer below.

Q: Find the limits 1 lim el/ cos

A: We have to find the limit: limx→∞e1xcos 1x We know that 1∞=0

Q: 1. Determine whether or not each of the following limits exists as a real number or as +oo or -oo.…

A: According to the given information it is needed to check whether the limit of the following…

Q: 3. Find the following limits (a) sin(4x) lim 140 sin(7x) (b) cos(30) – 1 lim 0→0 sin(70) (c) sin? t…

A:

Q: 1. Find the lim F(t), where sin(3t – 3) F(t)

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

Q: Find the limit of the trigonometric function.

A:

Q: 1. Evaluate the following limits. - 2 lim a.+2 -4 V2 +1-2 lim b. i+2 t-2 | sin 7r lim c.0 sin 3r

A: As per as our guideline i am supposed to solve only 3 part of question 1 . And f getting solution of…

Q: We can use direct substitution in computing limits provided there is nodivision by zero, which is…

A:

Q: 2) Find the following limits if they exist; otherwise report that they do not exist and explain why.…

A: Since you have posted multiple subparts we solve the first three subparts for you to get the…

Q: 5. lim sin TT (sin- 3. x→0 2

A:

Q: 1. Solve the following limits. (a) lim II 1+ r? x In x (b) lim 2+ sec (3x) (c) lim /6 tan (3r)- 1

A:

Q: Compute the following limits if they exist. sec x – 1 (a) lim I0- x – sin a (b) lim I40 x – tan x 2…

A: "Since you have posted a question with multiple sub- parts, we will solve first three sub -parts…

Q: Question 7 D Which of the following limits are equal to -1 ? 1. lim I-71 12 IL lim 3 1 III. lim 1-z…

A:

Q: Evaluate the limit. cos r- 1+a? lim 2x4

A: We have to find the limit

Q: I. Evaluate the following limits. 1 1 1. lim x – 1 et — е x→1+ - - tan x 2. lim (sin x x→0+

A:

Q: B. Evaluate only three of the following limits tan 30 lim 0-0 sin 80 x+1 i. ii. lim + zX co-x 1 = 2…

A:

Q: Find the limits. Are the functions continuous at the point being approached?

A: Given function is  Since, the function f(t) exists finitely at t=0, so we will evaluate the limit…

Q: Q3. Compute the following limits if they exist. sec a - 1 (a) lim x – sin r (b) lim 20 x - tan r 2 –…

A: Q.3 part a) Substituting the limit in function, This is indeterminate form 0/0,

Q: Exercise 6. Find the limits. lim n sin dx.

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: lim 0→0 sin 26

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: (3) Using the appropriate approach covered in Unit 6 of this Course along with knowledge gained in…

A:

Q: Find the limit. cos(70) – 1 sin(90) - lim

A:

Q: cos(90) – 1 lim sin(40)

A:

Q: Evaluate lim (cos x)cot . a) 0 b) 1 c) e d) The limit does not exist e)none

A: Solution: Consider the given limit function is limx→0+cosxcotx When applying to limit x tends to…

Q: Question 005: Complete the following question involving L'Hospital's Rule Use L'Hospital's Rule to…

A: We need to evaluate the value of the following limit  limx→0sin4x5x

Q: Compute the following limits if they exist. sec x – 1 (a) lim x – sin x (b) lim x→0 x – tan x 2 - VI…

A:

Q: sin(60) lim 0→0 0 + tan(80)

A: Using the property of limit, value of asked limit is solved. sinx/x =1 at x tend to 0 tanx/x = 1 at…

Q: Untitled Question * Q2 a- is the limit exist? fx + 1 limx→2 14 x + 2 x = 2 lim T (3x sin 2x) b-…

A:

Q: Solve the following limits. (a) lim r In x (b) lim 2+ sec (3x) (c) lim 7/6 tan (3I) –1

A:

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

A:

Q: B) Evaluate two of the following limits 2) lim(cos² x – sin² x) - 8

A:

Q: Find the limits Sialve) , 3) - e* § + lim Sin(yt) Cos (3t) -1 も→D Sin? (4t) lim Yet ニ + lim Sin…

A:

Q: Find the limit. cos(50) – 1 lim sin(78)

A: Given,            limθ→0cos5θ - 1sin7θ

Q: Question 2: Answer the following: a. Evaluate the following limit using L'Hopital's Rule. Vx? lim…

A: We know that : if limx→afx=∞∞ or 00, then we need derivative numerator and denominator until it…

Q: 4. State and prove the law of sines in triangles. 5. Prove lim,0 V2r + %3D 6. Figure out the…

A:

Q: Section 11.5 - Lines and Curves in Space

A:

Q: Consider the function fix) - sin x. Complete the table below and sketch its graph. 011/6 11/2 5n/6…

A:

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: Question 001: Complete the following question involving L'Hospital's Rule Use L'Hospital's Rule to…

A:

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.