2. Given the graph (on the right) of y = f(x). Find the following limits, if they exist. (1) lim f(x) (ii) lim f(x) X-0 X-2 3. Find the following limits if they exist; justify algebraically. x-8 lim X-2 x2-4 +8 (i) (ii) lim X-2 x+2

Q: Find the indicated limit given that lim f(x) = 5 and lim g(x) = 4. xa lim [2f(x) – 4g(x)]

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Q: Find the limits lim х2 — 1 as a. x→1+ b. x→1 c. x→-1+ d. x→-1

A: we have to find the limit    the given expression is

Q: find the limit of g(x) as x approaches the indicated value. 3x2 + 1 lim = X g(x)

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Q: Apply the properties of limits to solve the following problems: 1. lim (f(x) – g(x)) = x--3 2. lim…

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Q: Find the following limits (a) by investigating values of the function near the x-value where the…

A: Given: limx→1x4+4x3-9x2+7x-3x-1 Part a: Now we find the function near the limit Now take the values,…

Q: Evaluate the following limits: x? – 4 - lim x→-2 x2 + 9x + 14 x2 – 4 lim x→-0 x2 + 9x + 14 V3x2 – 72…

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Q: Consider the graph of y = f(x). 4- -8 -7 -6 -5 -4 -3 -2 -1O 2 3 5 -2 For infinite limits, use 00 = 0…

A: As per our guidelines we are supposed to answer only first three parts. kindly repost others part as…

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: 4.) x²-9 lim X-3 x-3

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Q: 10. Find the value of the limit or state that it does not exist b) lim f (x) =

A:

Q: Suppose that on the interval (2,5) f(x) less than or equal to g (x) less or equal to h (x) and Lim…

A: We have the following information.

Q: Find the limits x2 - 3x + 2 lim x - 4x as a. x→2+ b. x→-2+ c. x→0 d. x→ 1* e. What, if anything, can…

A: We are entitled to answer three sub-parts. Please resubmit the question which you wish to get…

Q: v) How would the value of the previous limit change if instead of the function y = words, what is 4…

A: To find the left-hand limit of the function,  limx→2-1x-2+1 Apply the limit rule,…

Q: x³ - 8x* +1x lim xa -5-14

A: Dear student our policy is to answer first one only in case of multiple question kindly repost the…

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

A: Given: limx→∞x2-7xx+1

Q: Q2 e valuat of the fallowing 2. ☺ lim L(x +3)t -16] xーース ☺ lim -25 X+5 メー5 lim |-X 3+X 9. X-3 メー] O…

A: To evaluate the given limits.

Q: find the limit of g(x) as x approaches the indicated value.

A: limx→13x2+1gx=∞

Q: In terms of limits, what does it mean for f to grow faster than g as x→∞? Choose the correct answer…

A: We need to choose correct option.

Q: Find the limit. 3x + 5 lim x→0 x - 4

A: Find the limit  limx→∞3x+5x-4

Q: (b)   Find      Lim                  3X 3-X-6…

A: on solving this we get

Q: Evaluate the following limits, if they exist, by using the graph 3 -4 -2 1 -1 -2 -3 -4 a) lim_ f(x)…

A:

Q: Determine the limit by sketching an appropriate graph. for x <4 S-3x - 4 8) lim f(x), where f(x) = {…

A:

Q: find the limit of g(x) as x approaches the indicated value. lim (4g(x))'/³ = 2 X0+

A: Consider the given limit as limx→0+4gx13=2

Q: If you know in advance that lim f (x) exists, can you determine its X+5 value from a plot of ƒ for…

A: Given that limit of f(x) exists at x=5.That means the function f(x) is continuous and differentiable…

Q: Calculate the value of the following limits algebraically, (if they 2x-1 a) lim x+1 X² 2x²-9x-5 b)…

A: Topic:- application of calculus

Q: 3. Find the indicated limits. if x 2 f(x) -2+ 4x – x² a) lim f(x) x→2+ b) lim f(x) x→2- c) lim f…

A:

Q: In parts (A)-(C), find the indicated quantity for y = f(x) = 5 – x². A) f(- 1)– f(– 2) (-1)-(-2) f(…

A: Given function is y=f(x)=5-x2f(-1)=5-(-1)2=5-1=4f(-2)=5-(-2)2=5-4=1f(-2+h)=5-(-2+h)2=1+4h-h2…

Q: Find the limit of the function lim x² 3x +2 X-1 X-A

A:

Q: If Lim [x3 – g(x)] = 12 as x tends to 3, use the Rules of Limits to find Lim g(x) as x tends to 3.…

A: Given: limx→3x3-gx=12

Q: Find the limit of the function lim x → − 2 ( 2 − | x | 2 + x )

A: Topic:- calculus

Q: Find the following limits if they exist. Must show all work (analytically?): 1. lim f(x) where f(x)…

A: We will find out the limit of given function.

Q: Find the limit of lim((9+3x)1/2-3)/x as x approaches 0

A: To determine the value of the limit.

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

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Q: 4. Given that f(x)=4x - 3 f (1+h)- ƒ(1) Find lim ,x21

A: Given query is to find the value of indicated operation.

Q: Determine the limit at infinity. 4x -6x2 + 3x lim - -x - 2x+6 O A. 4 OB. OC. 0 D. 4.

A: Given limit is Dividing both numerator and denominator by x^3, we get

Q: x 00-X 9 0 = lim Evaluate the limit as x approaches infinity of

A: Any finite number upon infinity is 0. any finite number∞=0

Q: From the graph: (x) is discontinuous at x= 3 because of (a) Lim f(x) = f(3) (b) Lim f(x) doesn't…

A: According to graph at x = 3

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: lim -2)2 x-2 x2-4 3.)

A:

Q: Calculate the value of the following limits algebraically, (if they exist): 2x²-3x-9 a) lim x-3 x-3…

A:

Q: Draw the graph of f(x) = E, and annotate the graph to indicate the meaning of I-2 lim - 2| T→2 x – 2…

A: We have to find limit

Q: Find the indicated limit given that lim f(x) = 5 and lim g(x) = 2. lim V3f(x) + 6g(x)

A:

Q: lim(-3x² – 1) x-3

A: Solution:

Q: Find the indicated one-sided limits, if they exist. (If an answer does not exist, enter DNE.) f(x) =…

A:

Q: A graphing calculator is recommended. For the limit lim (x - 4x + 5) = 20 illustrate the definition…

A: Consider the limit: limx→3x3-4x+5=20  Find the largest possible values of δ corresponding to ε=0.2…

Q: 10. Find the value of the limit or state that it does not exist c) lim f(x) = X2"

A:

Q: 2f(x) + 3x – х — 1 15 - Suppose that lim 5. Find lim f(x).|

A:

Q: What type of discontinuity is at x = 3, if lim f (x)= 0 and lim f (x)= 0? x-3 x>3* What type of…

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Q: Find the limits. f(x) = x + 3 g(x) = x2 (a) lim f(x) X→-1

A: A limit tells us the value that a function approaches as that function's inputs get closer and…

Q: 1. lim (3x + 4)

A: