Calculate the appropriate limit to determine the equations 32³+2+1 f(x)= ar 2-1³ asymptotes for of any is of ar yMaryMaryMa MaryMaryMa

Q: 6. Find all the asymptotes and all extreme points, discuss monotonicity of 4 f(x) = 4x + + 3. x - 1

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Q: || x-3 18) lim3(1-cosx)

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

Q: need to use L'nopitals indteterminate X2+3x+2 Why do we ile an to find limit such as, Jim If both…

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Q: Which of the following gives the equations for all the vertical asymptotes of the graph of

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Q: x1 x³ - 1 D)] sin x - cos x 13. tan x - 1 Svig SIUSI PH e21 HI -1 15. lim lim x→/4 We

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Q: LIMITS lim f(x) ахт + ... lim x→0 bx" +... X00 х3 — 2х2 + 3х — 4 lim х3 — 2х2 + 3х — 4 lim х-00 4x3…

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Q: V2x + 10 + Vx² – 5x + 10 lim - X→-1 x² + 1

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Q: 1 Let fn: [3₁3] - DR be defineet Find the point wife limit cop fnox) by fr.cz) 14x²5

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Q: Evaluate the limit n 1 2/3 lim 2 V3 3n n→∞ 1+ 3 + (k – 1)2v3' - k=1 3n

A: Given : limn→∞∑k=1n11+33+k-1233n2 233n Therefore, limn→∞∑k=1n11+33+k-1233n2…

Q: 5) Evaluate the limit of the function f(x) -3x4+4x³+8 lim x→∞0 4x3-5x²+4x-3 -3x4+4x³+8 4x3-5x²+4x-3'…

A: To find the limit of given function

Q: I - 1 (а) lim 41 r + x² – 2x 21? + 3д + 1 (b) lim Iª – x²

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Q: (х — 2)(х + 2)(г+ 1) (г + 3)(ӕ + 1)

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Q: Suppose that lim an = 5 and lim bn = 9. n-0 n→∞ Determine the limits. lim (an + bn) = n→∞o lim a =…

A: We are given that limn→∞an=5 and limn→∞bn=9.We need to find the given limits.

Q: Find the limit infimum and limit supremum of the following. Write a brief and concise…

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Q: Slus 21 1 e - 15. lim 1-0 sin t

A: according to bartleby guide line we do only first part of multiple questions.(15)

Q: x- 2 x <4 Estimate lim Ax) where fx) = %3D x+2 x24 12 10 -8- 8. 6 2 Limit does not exist.

A: Check the value of function nearer to given point of limit if they are equal only then limit will…

Q: In 1000 5 X limx→ +00 X

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Q: 4.x2 with f'(x) = x(x+8)(x - 2) (x+ 2)3 8(7x – 4) (x +2)4 f(x) = and f"(x) = %3D (x + 2)2 a. Find…

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Q: Use L'Hôpital's rule to find the limit. 8 x-29 x-8 lim X→-∞ Apply L'Hôpital's rule so that the lim…

A: We need evaluate, limx→-∞x8-29x-8

Q: b) 2f(x) 10. For the following functions, identify all asymptotes. (Vertical asymptotes and…

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Q: 5. Let f(x) = 3x - x² x²-9 (a) Find all horizontal asymptotes of y = f(x) (or explain why there are…

A: The function has one horizontal asymptotes and two vertical asymptotes

Q: Using L'Hôpital's rule one can verify that In x lim x-+x x XT == 0, lim x+x ln x = lim x ln x = 0…

A: (a)(a.1)(a.2)b.(b.1) Graph:(b.2) RELATIVE EXTREMUMTherefore, the function has a relative minimum of…

Q: 7. 8. What is the horizontal asymptote of f(x) a) y = 2/1/20 b) y = = 3x+47 2x-1 c) y = 121/12 What…

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Q: Select ALL horizontal and vertical asymptotes if the exist (0/10 Puan) f (x) 3x+2 (x-1)(x+5) !! U x…

A: Given  f(x)=3x2+2(x-1)(x+5)

Q: Let f(x) = 3x7 if x < 5 if 755 x ≥ 5 Show that f(x) has a jump discontinuity at x = 5 by calculating…

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Q: – 32 x3 + 6x? – 32 lim x--4 x3 + 5x2 + 4x

A: we got 0/0 so we apply L'Hopitals rule Take derivative of top and bottom by applying power rule

Q: nd all vertical and Horizontal asymptotes off Justify using limit stertennts. 6+3+4 ソー

A: We have to find aymptote

Q: 9 -x2 if x 1 .What value of c makes g(x) continuous at x = 1? Show all conclusions. 2 Vx-4 Using…

A: For a function to be continuos, the left hand limit should be equal to the right hand limit.…

Q: Find the asymptotes of the functions: 4 x2 1- f(x) = x² +8 x2-6x+7 2- f(x) = x+5

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Q: х2-2х-3 d) lim lim-3 х2-5х+6

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