Show that the function given below is continuous. 4v2 - 16v lim -2 v-4

Q: х3-2х-1 lim x-3

A: This question is based on Limits

Q: x² - 25 3. lim is 5 x - 5 (A) 0 (B) 5 (C) 10 (D) The limit does not exist.

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Q: (-금x+ 2, x 0 exist? If yes, give its value. If not, why?

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Q: 2x2+3x+1 Find the indicated limit if it exists: lim,0 x4-x2

A: We have to evaluate the limit limx→∞2x2+3x+1x4-x2.

Q: 1) Let f(x) = 3 Fx-2,x 3 a) lim f(x) b)lim Tー3 f(x) c) lim S(x) d)f(3)

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Q: For the function graphed here, show that

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Q: find the limit of function (a) as x→∞ and (b) as x→-xo. (You may wish to visualize your answer with…

A: Given that, h(x)=3-2x4+2x2

Q: a Consider the function If x 1 la) Sketch the graph of f 2. 2ーX b) Find limy f6x), if it exists. If…

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Q: E the function. lim x9

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Q: 2x² +3x+1 10.) lim x00 3x2 -5x+2

A: We can evaluate the limit as below

Q: 4.) x²-9 lim X-3 x-3

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Q: Find the limit as x approaches 1 for the function f(x) = 10x + 11. lim (10x+11) = U X-1 (Simplify…

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Q: (-x- 3 if x 2 A) -1 B) does not exist. C) 6 D) 00

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Q: C.2 show that the function even or odd or not 4-X 04Evuluut the fallowing Limits Lim メー」 メー」 2Lim…

A: Q. 3).

Q: Suppose that f and g are continuous functions such that f(8)=6 and limx→8 [f(x)+6g(x)]=17 Find A.…

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Q: If f and g are continuous functions with f(3) = 5 and lim,- [2f(x) – g(x)] = 4, find g(3).

A: Use the fact that limx→cfx+gx=limx→cfx+limx→cgx. Also, limx→ccfx=climx→cfx Now,…

Q: Use the graph of y= fX) in the figure below to find the functional values and limits, if they exist.…

A: Given that graph

Q: A. Find the value of a to make the lim f(x) and f(c) equal at all possible value of c within the…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: (x²+5x – 6 Evaluate: lim x-1 А) 5 B limit does not exist (c) 3 D) 7

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Q: 1. For which function below does lim f(x) = -∞? X-2+ 1 f(x) = - x-2 1 f(x) = - (2 – x) x² - 4 a. с.…

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: x2 Given that f(x) where a and b %3D (x- a)(b- x) are natural numbers and a > b, find lim f(x). X-a

A: Givenf(x)=x2x-ab-xwhere a and b are natural numbers and a>b.

Q: Suppose thatf and g are continuous functions such that f(2) = 3 and lim[f(x) + 8g(x)] = 51. Find…

A: As we know that: limx→afx+gx=limx→afx+limx→agx Given: limx→2fx+8gx=51 ; f2=3

Q: E A) Find the value of (H) if, / A: |H 1 -1 (x3-1) 1 = lim,- 0. (x-1) 4 2 1

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Q: Find the endings for the following functions zX-5 3 @ lim - V-X-2 X -3 X +3 a lim 2- x* 1.

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Q: 1. Using the graph of f(x), what is lim, -1/(x)? A. - 00 B. 0 C.-2 D. Does not exist E.

A: As shown in figure, As x tends to -2 from left , f(x) tends to negative infinity . That is…

Q: f(x) = √x, a = 1

A: Givenf(x)=x a=1To findlimh→0f(a+h)-f(a)h

Q: b) Suppose that limx→md(x) = 10 and lim,-mE(x) = -7 , find lim,-m(d(x) + E(x)) (iii) lim,-¬m(d(x).…

A: Since your question has multiple parts we will solve the first three parts for you. Consider that…

Q: 2x2r+1 1. Let f (x) - x+6 Where r is the last digit of your university ID. Find lim f(x)

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Q: Find the limits. F(x) = 2x? - 3x + 4, g(x) = Vx+ 2 (a) lim f(x) x-2 (b) 9(x) lim g(f(x)) = X-2

A: We have to find the limit

Q: Determine if lim f(x) exists. Is the function continuous at x = 2? Show all the steps. f (x) = { 4 S…

A: Given that a function and we check that at x= 2 this function is continous or not . We know that if…

Q: 2x f(x) x + 6 10 100 1,000 f(x) -5 -10 -100 -1,000 f(x) Use the results to guess at the indicated…

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Q: e2h-1 if f'(a) lim-0 what is f(r) and what is a? h

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Q: Using the graph of f(x) given below lim f(x) = x→2 O 2 O 1.5 1 does not exists

A: Graph of the function is given, we have to find the value of limit at x=2

Q: II. Evaluate the limits of the following functions. Show your complete solution. x-2 1. lim- X-2…

A: multiply and divide by

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

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Q: Evaluate f(-3+h) – f(-3) lim h0 h where f(x) = 6x² + 4. Enter I for oo, -I for -00, and DNE if the…

A: The given function is f(x)=6x2+4

Q: Consider the ceiling function [2] = min{z € Z]z > r}. This basically rounds up any real number. For…

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Q: lim(-3x² – 1) x-3

A: Solution:

Q: a. lim f(x) X-4

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Q: Which of the following statements about the function y = ƒ(x)graphed here are true, and which are…

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Q: 3. If f and are continuous functions with f(3) 4 and lim 2f(x)-9(r)3D5, what is g(3)?

A: To evaluate the value of the function

Q: 3x +x 6. Evaluate the limit: lim- x→0 а. О С. 1 b. 3 d. -1

A: “Since you have asked multiple questions, we will solve ONE question for you. If you want any…

Q: Find the limit for the function below: S 8X -356 OS X 200 P(X)= 8x-225 200 <X? 350 lim x-→190 P(a) =…

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Q: Q 6 Let f(x) be given by for x > 6 for x2 6 x 6x-8316x 8 3-4x244x + 96 XC f (x) = Find lim6f (x) if…

A: The given function is

Q: a. lim (2r – 6x + 5) b. lim (2x² + 4x + 1) с. lim ix² + 4

A: As per the company guidelines we can solve first three parts. I hope that the given solution will…

Q: Find the limit of the following functions (some are indeterminate forms). x2-x-12 4. lim x-4…

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Q: [10x3, x<-2 5-x, x ≥ −2 Let f(x) 1. f(-2)= 2. lim f(x) = x→-2+ 3. lim f(x): = 2-2 =

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Q: Which of the following statements about the function y = ƒ(x)graphed here are true, and which are…

A: By looking at the graph, The function is approaching a value of 1 as x moves in towards 2 from the…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.