O If lim an = L, then lim an+1 = L +1. n→∞ n→∞

Q: If lim a, = 0, then lim an = 0. 72-00 72-00

A: We have to check

Q: lim x approchs infinity 5x/(4x^2 + 5x)

A: Given, limx→∞ 5x4x2 + 5x Takine x as common from both denominator and numerator and then cancelling…

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Q: a' + b' + c\!/r 9" - Vabe. Geometric mean Prove that lim 3 where a, b, and c are positive real…

A: Let Take natural logarithm on both sides.

Q: g(x) = (x + 5)ln (x+ 5)2 What is lim g(x)? I-5+

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Q: x-7 3. The limx→0- x a) 0 2x-5 4. The limx→5° x-6 a) 5 b) infinity b) -1 c) -7 c) -5 d) Does Not…

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Q: z-1 Find lim · z→1z²+iz-i+1° Show or solution or any justification for your answer.

A: We have to find the following limits, limz→1z-1z2+iz-i+1

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Q: Evaluate: lim (x² + e¬*)(x¬1 cscx) X→0+

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Q: Question Select one: 02 Evaluate 0-2 0 0 3 - 2n lim n→∞ 3 + n 0 3 O None of the others.

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Q: Question Given that lim f(x) = 5 and lim g(x) = 2, evaluate the following. X-2 X-2 lim f(x) · g(x))…

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Q: If lim an = L, then lim an+1 = L + 1. n→∞ n→∞

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

Q: (ii) Using Sandwich theorem, find lim g(x) xsinx 1 6 < 1 2 – 2cosx -- - holds for all values of x…

A: The sandwich theorem states that if fx≤gx≤hx for all x∈R and fk=hk for x=k then fk=hk=gk.

Q: x+2 Let Sex-x5 ースくX<3 Find@lim fo lim fos X-2 X-80 X73 (im fo X-A3

A: we need to find limits so we need to check left hand limit and right hand limit if we want to check…

Q: If lim a2n = lim a2n+1 = L, then lim an = L 72-00 11-00 11-00 where L is equal to Blank 1. Blank 1…

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Q: Px-p2], a. Evaluate: limX-Pl, x→P 2. x-P 1_1 b. Evaluate: lim(N_x) x→N`x-N N=6

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Q: Let f(x) := x? + 3. Does lim,- 2→-1 f(x) exist, and if so what is it? (Draw a picture!) Yes, it is 1…

A: fx=x2+3 Since it is a polynomial function, therefore the limit exist. Now,…

Q: Pregunta 1 Evaluate In (x) lim O a does not exist O b 1/5 00 O d Pregunta 2 Evaluate: x2 – 1 lim I-1…

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Q: Which one is correct, and which one is wrong? Give reasons for your answers. a. lim lim b. lim 6.…

A: If we plug x=3 in the given expression then we get:

Q: Question Given that lim f(x) = -3 and lim g(z) = -2, evaluate the following. f(z) lim z-0 g(x) Give…

A: Explanation of the answer is as follows

Q: 200 (-1) = 1, lim (x – 2) = + Use the results that = 1, lim (x – 2) = +∞ lim I+3 T-1 エ→8 エ→0 to find…

A: Given that limx→∞(x+3x-1)=1and limx→∞(x-2)=+∞Required to…

Q: Skz -3, I5-1 S(2) = |2+k, 1>-1 find the value k such that lim f(x) exists. en x-1

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Q: 0, 5. Let f(x) = sin, x> 0. . y = Jain . a. Does lim, 0 f(x) exist? If so, what is it? If not, why…

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Q: f(x) = 4 and limx→2 f(x) = DNE, what can we possibly say about limx→2+ f(x)? a. lim x→2+ f(x) = 8…

A: Limits existance

Q: 10* -1 Find the value of lim then choose the correct answer: a) 1 b) In 10 c) 0 d) In x

A: We use the properties of logarithm to solve this question. Property: limx-&gt;0ax-1x=lna

Q: [1/(x+ 1)]–1 The value of lim -is the same as x+0 1 A lim X→ ol X+1 B - lim X +1 (c) -lim[(x- 1)]…

A: We are going to solve

Q: (a) lim f(x)= (b) lim,-2+ f(x) = (c) lim f(x) =, (d) Is f'(3) is positive, negative, or zero? (e) Is…

A: We will solve the problem

Q: LIMITS lim f (x) lim f (x) : Factorization x→a X→a х2 — 9 x²-a? | lim х>-з х2 — 2х — 15 lim x→a…

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Q: finding Ⓡ a se lim, soo Jn. = JA n

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Q: 1. (a) Suppose that lim an = L. Tell in a complete sentence why lim an+1 = L. n00 an+1 (b) Suppose…

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Q: 1-x , and lim 1-x 1-x Evaluate lim 2x X00 lim 2x X- 00 X X00 1-x lim 2x (Simplify your answer.) 1-x…

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Q: 92. Movie Advertising The percentage of movie advertising as a share of newspapers' total…

A: Given problem is :

Q: You are given an = 5. k=0 What is lim ɑn?

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Q: lim inf[0, n/(n +1)) = lim sup[0, n/(n + 1)) = [0, 1). %3D We can now give an interpretation of lim…

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Q: Question: What is lim h(x)? x--2 x< - 2 -2<x< 2 x2 2 -2x – 1 h(x) = {x | 2x – 3

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Q: where L is equal to Blank 1. Blank 1 Add your answer If lim azn = lim a2n+1 = L, then lim an = L…

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Q: Directions: Determine if limx¬c f(x) = f(c). х, х 2;c = 2 – 1, x |

A: f(x)=x, x&lt;2x-1, x≥2

Q: 10-5 -2' +1 (b). Evaluate lim 1+x-M-x (i).Evaluate lim sin"x (a+ h) sin(a +h) -a² sir (ii). Evaluate…

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Q: 0, 5. Let f(x) = sin, x > 0. х fo. Tsin4. 0, y = sin =, x>0 a. Does lim,,0* f(x) exist? If so, what…

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Q: 3 - x, x 2. y=3-x -2 a. Find lim,2- f(x), lim, 2- f(x), and f(2). b. Does lim,2 f(x) exist? If so,…

A: Here  given function  Thus from the above  f(2)=2

Q: тх — 3 ,x7 ,3 < x<7 Given that lim f (x) is exists and lim f (x)= f (7). Find the values of m x→3…

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Q: 2-81 x-9 3(x - 11x + 18) Evaluate lim A. 1/3 B. 54/7 O C.O O D. -6/7 O E. 6/7

A: Definition and methods help to find the required limit of the given function. A value is said to be…

Q: n+an-1+an-2+...+ hat is the lim ´x→∞ (n − 1)x¹−¹ + (n − 2)xn−2+...+ï' −‚n €Z+?

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Q: 3 — х, х 2. y = 3 – x 3 4 a. Find lim,2+ f(x) and lim,,2- f(x). b. Does lim,2 f(x) exist? If so,…

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Q: ar - 1, 3. Given f(r) = - + a, > find the value of a ER such that lim f(x) exists.

A: As per company's guideline, we are supposed to solve first question for you, kindly repost other…

Q: Test Content Question 9 In evaluating Add your answer 5 dx is same as evaluating lim (In(f(x))).…

A: The integration of the integral is 1/sqrt(x2-9).

Q: ample 1.3.1 Check lim inf[0, n/(n + 1)) = lim sup[0, n/(n + 1)) = [0, 1). We can now give an…

A: This is a question from real analysis, topology, series sequence.

Q: 3 - х, х 2. x< 2 - Let f(x) y = 3 -x y=+1 a. Find lim,2* f(x) and lim,-r f(x). b. Does lim, 2 f(x)…

A: Here the given function  By using the graph of the given function When x tends to 2 from the left…