11 if x > 8 7 f(x) = if x = 8 if – 9

Q: 4. Evaluate the following limits (3+1)2-9 x2 (b) lim,1 (a) lim,0 x-1 x 1

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Q: Find the limit for when x -> 4 lim F(x), for f(x)= x2+2 ; x≠4 ; 27; x=4

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Q: Suppose that a function f(x) is defined for all real values of x in [-1,1]. Can anything be said…

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Q: See pencil for correction of problem

A: First we simplify the expression (x2-2x-8)/(x+2)=(x2-4x+2x-8)/(x+2)…

Q: 4.) Evaluate the following limits at infinity. If the limit is infinite specify whether it is plus…

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one.…

Q: Evaluate lim z²-4z+3 z-3 O 1 O 3 O limit does not exist

A: Given function is, limx→3x3-4x+3x-3

Q: Q2) Evaluate the limit at x = -2 for: x 1 2x2 4x - 8 S(x) x² - x- 6

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Q: Solve for the limit: lim \belowx → 3 x2-9 O a. 1. 54 c. 6. 1 54 O d. 1/9

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Q: Find the following limit. 4 7 1-X lim 2 X→- 0 x* + 6x

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Q: Find lim x^2 − 3x + 2/x^3 − 2x^2 as (a) x → 0+ (b) x → 2+ (c) x → 2−

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: 3. Use L'Hôpital's Rule to find the limit. 2x2-3 x2+6x-16 a. lim x- 00 5-4x2 b. lim x2 x2+x-6

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Q: 4 Find the limit lim 3 Enter I for oo, -I for -o, and DNE if the limit does not exist. Answer:

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Q: 5) Find the indicated limit if it exists. √√x+4-2 a) lim x-0 X 8x³+27 b) lim x-1.5 2x + 3

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Q: 6. Evaluate the following limits analytically. a. lim 1-4 3x+1 r'- 5x - 6 b. lim 1-6 x - 36 c. lim -…

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Q: Find the limits x² - 7x lim X-o X + 1

A: Given: limx→∞x2-7xx+1

Q: Find the limit. lim X-2 x+2 O 1/2 -00 O Does not exist

A: Answer is limit does not exist

Q: 3. Evaluate the limit: x² – 3x + 2 lim X-1 x + 1

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Q: Find the limit. |x+ 4| lim (x +3) x+4 X→ - 4+ O A. 1 О В. - 1 О с. 7 D. The limit does not exist.

A: Given: limx→-4+x+3x+4x+4

Q: Find the following limits if they exist. 1. 2 3. lim x→+0 5x – 7 8x 4x +1 lim X +2 +x + 27 lim -7 2…

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Q: (-5-x)²+2 if x #-6 Let f(x) = 2x + 14 if x = -6 Calculate the following limits. Enter "DNE" if the…

A: Given  f(x) = -5-x2+2if  x≠-62x+14if  x=-6

Q: 12) Evaluate the following limits, if they exist: -e-x+1 ) lim 5x b) lim- V8x* - 6 -* 7x -3

A: Given This limit is an indeterminant form as

Q: 5x2 + 10x + 1 20. lim x* + x² + 1

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Q: Find the indicated limit if exists. lim x2 - 9 x→3 x - 3 O 3 O The limit fails to exist. 6

A: Ist solve then apply limit

Q: (4) Evaluate the limit, if it exists. 9 – x lim 1→-00 3.x³ – 75

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Q: Determine the limit 2x z 3 lim,> 3z2 1 8x |5 O x=2/3 O x=-5/2 O x=-2/3 O None of the Above

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Q: 2. Calculate the limit algebraically. x-11 lim O -1.8 03 -0.6 O 1.8

A: Given

Q: 1- Evaluate the following limits, if they exist. If they do not exist, state why. a- Lim 4 c- lim…

A: See the details solution in below

Q: i. Calculate the following limit: 2x|x – 1| lim - x-1 x-1 ii. Determine the limit of f(x) when x…

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Q: 2x-1 2. lim X-2 \3x+4,

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Q: (A) Find the following Limits. x + 5 2. limy-3 f (x) if f(x) = }2x²+4 , x 4

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Q: 3. Let 4x-10 if x5 Compute the following limits when they exist. x-5 a. lim g(x) x-5- b. lim g(x)…

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Q: 10. Find the limit if it exists. 2.х2 — 9х — 5 lim +5 х2 — 12.х + 35 -

A: Solving the problem by L'Hospital Rule to find the limit.   NOTE :: As per our Expert guidelines we…

Q: 5. Evaluate the following limit at a given point (if exist). [T:2 each] i. lim (x + 3x² – 9) x-2 x²…

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Q: 4. If lim )-/(2) 0. which of the following must be true: x--2 x-2 (a) f(2) is not defined (b) Limit…

A: Given,           limx→2fx-f2x-2=0

Q: 3. Evaluate the following limits, if they exist: 1 (a) lim 1 +3 2x x→-0

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Q: С. 1 Evaluate the following limits x2 +6x+5 1) lim x-5 x²+2x-15 x(х-5)-24 2) lim x→8 x2-8x (2+x)3-8…

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Q: Q4) A) Find the following limits (for two only). x+1 1. lim x--1 x2-x-2 1-Vx 2. lim x-1 1-x 2x 3.…

A: 1. limx→-1 x+1x2-x-2   is of 00form, So apply L'Hospital rule limx→-1 x+1x2-x-2   =  limx→-1…

Q: A) Find the following limits (for two only). x+1 1. limx-12-x-2 1-V 2. limx-1 1-x 2x 3. limx-0 2x2+x

A: Find the following limits.

Q: 1 1 Find the limit lim *+5 8 x→3 x-3

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Q: 2 х+ 3x —8 - What is the limit lim X 2- x2 - 4 O (-) infinity O DNE O + infinity

A: Solution is given as below:

Q: Q1. Compute the following limits if it exists. √x+2-3. 1-lim( x-7 2-lim (7x²+x+1) x→∞0 4x²+3x

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Q: 2. Find the following limits. Do (a) and (b) without a calculator and (c) and (d) with a calculator…

A: We have limx→0x-4x+4=limx→0x-4limx→0x+4=0-44=-42=-2

Q: 2. Find the composite functions f°g and g°f 3 when f (x) = and g(x) = x² – 1. x+1 Estimate the limit…

A: 2. f(x)=3x+1 and g(x)=x2-13. limx→4x-4x2-3x-4

Q: 7. Find the one-sided limit, if it exists. x-9 lim x+6 x+6- O -15 - 4 O -6 O 9 O The limit does not…

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Q: A function f(x) is said to have a jump discontinuity at x = a if: 1. lim f(x) exists. 2. lim f(x)…

A: We have to find out

Q: 1. Find the limit, if it exists.If the limit does not exist, explain why. (a) lim √√²+1²+1+3z² z²+1…

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Q: 12 Show that the following limits do not exist. 1 lim X0x (a) (x > 0), 4,

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Q: Q5:- Evaluate the following limits x²+8-3 1. lim X→-1 x+1 x+3 2. lim x→-3 x2+4x+3

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Q: Find the limit. lim x → 2− e3/(2 − x)

A: To find the limit of the function

Q: 3x – 1, if x 8 | Let f(x) = { 5 x+9 Show that f(x) has a jump discontinuity at x = 8 by calculating…

A: