Which of the following is equal to the limit lim ? x-0 x tan x O A. 8 В. 2 O C. 4 D. 0

Q: Choose the correct answer for the following limit: lim (x,y) →(0,0) O -1 0 1 625 x¹-16 y 100 x² +16…

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Q: Use the graph of the function f to state the value of each limit, if it exists. (If an answer does…

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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: Given the following limits, calculate the limits below, if they exist. (If it does not exist, enter…

A: Given: limx→1fx=1,limx→1gx=-4, limx→1hx=0 (a). We have to evaluate limx→1fx+3gx  Use property…

Q: Which of the following statements are correct for PI4y lim (2,v) (0,0) 2y+3x 1) Approaching along…

A: So approaching along the line y = x, the value turns out to be -3/5 but this is not the limit not…

Q: Which of the following limits has a value 0? In x I. lim II. lim X-0 e* Neither I nor II. O l only…

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Q: The limit exists and is equal to 0. Select one: O True O False lim (x,y) →(0,0) 36x²+25y² 6x+5y

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Q: Evaluate the following limit 5 - Va lim z+0 5 + Vx Answer:

A: We have to find the limit of limx→∞5-x5+x We know x is strictly increasing function in the interval…

Q: Complete the table and predict the limit, if it exists. (Round your answers to three decimal places.…

A: the limit exist and equal to -16. see below the calculation

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

A: Let's evaluate given limit.

Q: ind each of the following limits in parts (a) through (c), or explain that the limit does not exist.…

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

A: We have to find limit

Q: The following limit 9a? – 16y? - lim (x,y)→(0,0) 4у + За

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Q: Find the following limit: x2 – 1 lim I+1 +4

A: We use the concept of right hand limit in this question.

Q: Evaluate the following limit: x3-ze?y lim (x,y,z)-(-1,0,4) 6x+2y-3z .A 5 18 .B .C -5 12 .D 12

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Q: Use the properties of limits to calculate the following limit. x? + y³ lim 3 3 (х.у)-(1,2) х* - у x²…

A: We have to find

Q: For which sign, + or - , does the following limit exist?

A: Given that, limx→01x±1x(x-1) Consider, limx→01x+1x(x-1) = limx→01x1+1x(x-1)1x…

Q: suppose that f (6) is differentiable and it?} Icrivative is s?(X). E valuate the following limit in…

A: Given limh→0f(x+h)-f(x-h)hEvaluate the limit of the left sided limit limh→0-f(x+h)-f(x-h)hNow we try…

Q: Find the value of the following limit. f(1+h) – 1 lim h→0 h

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

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Q: Find the following limits (if they don't exist write DNE, ∞ or -∞ as appropriate): Answer: lim x-3 2…

A: We have given to find limit  Let ,  y=limx→3x2-2x-3x-3 y= limx→3x2-3x+x-3x-3 y= limx→3xx-3+1x-3x-3…

Q: Which of the following limits is equal to x* dx? (A) lim k 1 3+ n00 k=1 n k* 2 (B) lim E 3+ n n n00…

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Q: (b). Compute each of the following limits. (i). lim,4 ". (ii). lim,0 tanz

A: For (i),     limx→ 4x2-x-12x2-4x=limx→ 4(x+3)(x-4)x(x-4)=limx→ 4x+3xPlug in the value x=4.=4+34=74

Q: (c) lim r csc(x)

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Q: Evaluate the limit lim (x,y)→(1,1) V(a - 9). sin(x – y) x2 – y? O A. OB. OC. 3 OD. 5 O E.

A: option B is correct

Q: The value of the following limit Lim (cos(x))ou(x) IS:

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 3s 4, s 8 -

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Q: 1- cos x lim x-

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

Q: Which of the following functions have limit ? 4xy = ? b) 4xy2 sin(xy) lim lim ? c) lim 4 (x,y)-…

A: According to the given information, it is required to check which functions have limits. For part…

Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for ∞, and DNE if the limit does…

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Q: Determine the value of the following limit, if it exists. If infinite, specify either o or -o. (If…

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Q: Determine the value of the following limit, if it exists. If infinite, specify either o or -0. (If…

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Q: Calculate the following limits at infinity. • If necessary, use -inf and inf to denote -00 and oo. •…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim s→8 f(s), where f(s)…

A: The solution is :

Q: Given that f(x) = e ,which of the following is equal to the limit F(; + h) – f(}). lim h→0 ? h Oe…

A: From definition of derivative we know for a function f(x),  limh→0f(a+h)-f(a)h=f'(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: 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: FInd the limit of the following, or dhow that it does not exist: lim (x,y)->(0,0)   (2ex tan…

A: Let's call the limit as L. Please see the whiteboard.Between the two variables, first see whose…

Q: Which of the following limits is equal to a4 dæ? E(3+ 1 A lim n00 k= 2 B lim 3+ n00 k= 2k 3+ 1 lim…

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Q: Let f (x) = 1+x² and g(x) = Vx + 2. Find the following limit: lim g x→2 O A) 4 O B) V7 C) 2 O D) 5

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Q: Find the following limit: lim f(x) O A. 0 О В. О Ос. 3 O D. 4

A: We have to check

Q: Evaluate the following limits, where c and k are constants.

A: See the details solution in below

Q: Find the limit, if it exists. 5tanx lim 7x O a. 5 7 Оb. 5 7. Oc. 0 O d. D.N.E

A: Given : limx→05tanx7x To find : Limit value of given expression if exists. Solution : Since the…

Q: Please show step-by-step solution

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Q: Find the value of the given limit. lim tan(4x) I I-0 O a) 1/12 Ob) undefined Oco d) 4

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Q: 1. Find the following limit, if it exists. lim (z.1)-(0.0) V2 + y? +1-1

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Q: Find the following limit if it exists, or show that the limit does not exist, y? sin? x lim…

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

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

A: We need to find limit.

Q: Find a value of the constant k such that the indicated limit exists. 5* – 1 lim x→o eka + 8' k =

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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.