Which of the given limits would result to 3/4.* csc (3x) lim x0 csc(4x) sin (4x) lim 0 sin(3x) Option 4 O Option 2 sin (4x) lim x-0 sec2 (3x) sin (3x) lim X0 sin(4x)

Q: Find the limit. lim sin(9x) 5x

A: We are solving the first question and for the next question post the question again and also mnetion…

Q: Only one of these calculations is correct to evaluate 1 cosx the limit lim sinx x-0 Select one: sinx…

A: We need to evaluate the value of the following limit limx→01x-cosxsinx

Q: Evaluate the following limits. 1. lim 1 cosh x x+0+ ln(x² + 1) 2. lim (tanx) (sin x-1) x+7+

A: Let's solve for given limit.

Q: Evaluate the following limits: 8x3+27 lim- 4x2+12x+9 X -- 2 b.) lim (3x + v9x2 — 6х + 3) X -00 c.)…

A:

Q: Evaluate the limit using techniques from Chapters 2 and 4 and using L'Hôpital's Rule.  lim x→0…

A: Evaluate the limit

Q: Evaluate the limit sin 2x lim 20 7x

A:

Q: 1 Only one of these calculations is correct to evaluate the limit lim sinhx, X+0 Select one: 1 lim…

A: We have to evaluate the following limit . I have explained in details please see the explanation and…

Q: Only one of these calculations is correct to evaluate the limit lim coshx sinhx Select one: 1 O im…

A:

Q: (9') Find the following limits: (i) lim (x2 + 3x + 5). x -1 ii) lim sin(x²). x→2 sin x iii) lim x→0+…

A:

Q: Q1) Find the followings limits;: (Answer 4 Only) 1. lim 2.lim 25x (cotx)(cse5x) 3x 5-lim tanx-sinx…

A:

Q: Q3: (a) Find the following limits if exist (without using L'Hopital's rule):- 9-3 (2) lim, tanr-sin…

A:

Q: LEvaluate each of the following limits without using "L'Hôpital's Rule": 5-|x-4x2| 82x3+x2-8…

A: Indeterminate forms: The limit of A(x)B(x) when x→a when limit of both function exist and if both…

Q: Q3: (a) Find the following limits if exist (without using L'Hopital's rule):- (2) lim, (3) lim,…

A:

Q: Evaluate the following limits. 2x sin- x 1. lim х-0 еx — х — 1 2. lim (sec x)cot × X-

A:

Q: Find the limit (if it exists) (а) lim x — 5 (b) lim 5 x-243 x2 + 6x + 8 (c) lim x--2 x + 2 sin x (d)…

A:

Q: Only one of these calculations is correct to evaluate the limit lim - - cscx Select one: 1 |= 1-1=0…

A: Evaluate the limit.limx→01x-cscx

Q: Find the following limits.  limx->+infinity (sin2x)/(x2+1) limx->+infinity (e-2x cosx)…

A:

Q: Evaluate the limit sin 2x lim 7x

A: limx→0 sinxx = 1

Q: 2x sin-x lim х—0 еx — Х — 1

A:

Q: Find the limit. sin 5x lim X0 3x

A:

Q: sin(x – 3) lim X→3 + 6x – 27

A:

Q: Evaluate the limit sin 3x lim 7x

A:

Q: Evaluate the limit sin 3x lim 5x

A:

Q: Only one of these calculations is correct to evaluate the limit lim CSCX Select one: O im sinx +x…

A: Solution

Q: Find the limits in Exercis

A: To evaluate: limx→0sin5xsin4x Solution: Given,limx→0sin5xsin4x On simplifying further we get:…

Q: 2. Calculate the following limits. Justify your answer. (without using L'Hopital's rule Rule or…

A:

Q: Find the limit. sin(4x) lim 5x

A: Solution: The objective is to find the given limit

Q: L’Hôpital’s Rule to evaluate the limit, or state that L’Hôpital’s Rule does not apply.

A: Given limit:

Q: iv. lim x' -2x² X -00 v. lim 3x – Vx* – 2x +3 lim I-0 x vi.

A:

Q: Use l’Hôpital’s rule to find the limits

A: Given that: The limit is limx→0+ 3x+1x - 1sin x .

Q: Only one of these calculations is correct to evaluate the limit lim sinx Select one: 1 sinx -x lim O…

A:

Q: Evaluate the limit sin 3x lim 9x

A:

Q: 1 Lim x→0* x0x 1 sin x

A:

Q: Q3. Compute the following limits if they exist. SEC x – 1 (а) lim x→0- sin x (b) lim x→0 x tan x 2 -…

A:

Q: Find the limit. lim sin(ax) . x-0 sin(9x)

A: If we plug x=0 in the limit then we get:

Q: 1 Only one of these calculations is correct to evaluate the limit lim sinhx x-0 Select one: (1 lim…

A:

Q: 5. Find the limit or show that it does not exist. sin(x – 1) lim x→1 x´ +x –2 2

A:

Q: Q2.) Find the limit ( 1 lim X+x cos x 1. X→ 0 sin x cos x |x + 2| 2 - lim(x + 3) x-2 x + 2 lim sin…

A: solve using properties of limits

Q: *.. Find the value of Limit Below x² – 10x – 25 lim x-5 x2-4x- 5 3/2 O 7/3 O 8/3 1/6 O 2/5 Google Ps…

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Q: 1-√3-x 4. lim. x→2 4-x²

A:

Q: Use l’Hôpital’s rule to find the limits

A: To evaluate the given limits lim x→0sin3x-3x+x2sinxsin2x Solution: Since we know that, lim…

Q: Evaluate the following limits: x + sinx lim х-оо 2х + 5 lim - х-0 tan3x 1- Vx lim x-1 1 - xX x. Sinx…

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Q: Find the limits lim x→1- sin-1x

A:

Q: Find the limit. lim x→4  sin(x − 4) x2 + 5x − 36

A: To Determine: find the limit of  limx→4sin(x-4)x2+5x-36 Given: welimx→4sin(x-4)x2+5x-36 Explanation:…

Q: Evaluate the limit, using L'HÔpital's Rule if necessary. sin 3x 1. lim x→0 tan 8x In x5 2. lim x7 –…

A:

Q: Q1) Find the followings limits:: (Answer 4 Only) 1. lim 2.lim 25x(cotx)(csc5x*) 3x 3- lim X-2…

A: Given limit is:…

Q: Evaluate the limit sin 9x lim I0 sin 3x

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Q: Find the limits: (1) lim (tan x)* X-0+ (2) lim (sin x)* (3) lim (ex + x)² X-0+ X-00

A:

Q: Find the following limit: 3. 1) lim (1--) x00 2) lim (Lnx) 3) lim (x² – 1)cos* X-1

A:

Q: Evaluate the limit. sin (x) sec (x) lim 2х

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.