Which of the following statements is incorrect? sin x { A} lim = 1 {C} lim k = k; k is a constant 1 {в} lim X0 x" {D} lim "Vf(t) = lim f (t) t-a

Q: Calculate the following limits, or explain why they diverge. You may use any theorems we have proved…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

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 which limits below can we use L'Hospital's Rule? sin x O lim xT/4 T/4– x 1 - e lim x→0 sin(6x) x…

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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: 1. Find the following limits. 2 sin(2x) – x (a) lim

A: Our Aim is to find the limit of the following expression given below:-limx→0 2 sin (2x)-xx-(i)

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: (a) Evaluate lim,a x-a? where a is some fixed constant. Again, no using l'Hôpital's Rule, even if…

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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: 1. a. Evaluate the following limits and find the value of K from the given equation: lim( x→1 Nx5-N…

A: Here we need to find Limit by using L'hospital rule.

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

A: Let's evaluate given limit.

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: 1. Determine the following limits, or clearly explain why they do not exist. 3 - t+ sint (a) lim L…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: q//// find the limit of the following: 1- lim x* cos n-0 2- lim vx? + x³ sin n--0

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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…

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Q: (b) Find the following limits. Do not apply L'Hospital's rule. x2-4 lim x+2 x-2 (i) sin (31) (ii)…

A: Explained below

Q: 5. lim sin TT (sin- 3. x→0 2

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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

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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: 81. T a. Show that –x <x sin 1 < |x\, for x + 0. | b. Illustrate the inequalities in part (a) with a…

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Q: Question 2 5x limr→-0 g² + 10x – 1 c→-∞

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Q: (a) By using L’Hôpital's rule, evaluate each of the following limits. sin x lim x-0 2x (i) (ii) lim…

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

Q: Use L'Hospital's rule to determine the following limit. Use exact values. e1a – 1 4x lim x →0…

A: We apply L-hospital's rule, when we get 0/0 form.

Q: In which limits below can we use L'Hôpital's Rule? O lim 2x? + 7x + 6 lim x2 + 8x – 9 sin x O lim…

A: L'Hopital rule is used for indeterminate forms.

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

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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: 2. Given lim= 2, X-2 X Use the precise definition of a limit to find the values of 8 that correspond…

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Q: Evaluate the following limit. sin xy + cos xy lim Ty (xy)-(0.x) Select the correct answer below and,…

A: Recall: lim(x,y)→(a,b) f(x,y)g(x,y) = lim(x,y)→(a,b) f(x,y)lim(x,y)→(a,b) g(x,y) lim(x,y)→(a,b) c…

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

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Q: Find the value of the limit lim sin 6 t t - 0 sin 4 t (a) 2 (b) 1.5 (c) 1.7 (d) 1.9 (e) 1.8

A: Recall the famous rule of limit:

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…

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Q: Calculate the following limits, or explain why they diverge. You may use any theorems we have proved…

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Q: O Determine the following limits O limx-0 3 1+y3x+1 sin 2x limx-0 10x"+x*+31 limx-too

A: We are allowed only 3 subparts of a question

Q: Q 4. (a). Simplify the indicated limits on the following. (CLO-2: LOL 3x²+5 lim X→∞ x2+1 [sinx lim…

A: Q 4. (a) (i) The given expression is limx→∞3x2+5x2+1

Q: Given n ≥ 0;  explain that   limx→∞ fn(x)/(e^x) = 0.

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Q: Evaluate lim w/ e 1- sin C x)

A: First , evaluate the limit. limx→∞ex3−1sin1x=limx→∞ex3−1limx→∞sin1x=e∞3−1sin1∞=e∞−1sin0=∞−10=∞0…

Q: Evaluate the following limits. x + sin(x) +2Vã x + sin(x) a) lim

A: NOTE***As per bartleby guidelines for more than one question, only first to be answered send other…

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

A: (a).  We have to find:  limx→2 x2+x-6x2-2x

Q: 45. a) Find lim h(x). b) Find h(1). c) Is h continuous at x = 1? Why or why not? d) Find lim, h(x).…

A: Given Example -

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

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Q: 8. Find the area of the triangle formed by the x and y-axes and the tangent to the graph of y =. %3D…

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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: Which ONE of the following statements is TRUE with regards to lim (x,y) → (0,0) sin (xy) x² + y²

A: The correct answer is option D.

Q: The graph of a function f and its tangent line at 0 are shown. What is the value of lim X→0 e7x f(x)…

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Q: suggested that you report answers accurate to at le sin(12a) Let f(æ) = sin(12x) We want to find the…

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Q: Find the following limits. Do not apply L'Hospital's rule. 2-4 lim x+2 |x – 2| (i) (ii) sin (3t) lim…

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Q: -x + 1, x > 0 3) Let f(x) = sin x -,x < 0' (a) Find left-hand and right-hand limits as "x"…

A: we have given f(x).  We have to find the left hand and right hand  limit.

Q: sin? 2x Which of the following is equal to the limit lim x→0 x tan x

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Q: Use L'Hôpital's Rule to determine the following (a) lim (z in) z+0+ (b) lim 1 - 2-0 sin (c) lim (e…

A: To use L'Hopital's Rule to determine the following a  limx→0+x2ln1xb  limx→03x+1x-1sinxc…