Sketch the graph of a function fso that... lim f(x) - f(3) lim f(x) DNE X-1 lim f(x) = 0 X→3 X--00 lim f(x) = * lim f(x) = X→-4 f(5) is undefined %3D X→-4+

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

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Q: f(x+h)-f(x) for f (x) = /5x – 2. Calculate limh- h f(a+h)-f(x) 1 limh→0 V5x-2 h f(x+h)-f(x) 5 limħ→0…

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Q: 4. Determine whether the functions f are continuous at given points: x+2 S(x) ={ x +x-2 0, x=1 at x…

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Q: 3-Vx+3 6. (10) Find lim analytically (if it exists). X→6 X-6

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Q: Consider the function Pue au Marka 1- x2, x1 f(x) = 2, %3D X = 1 Graph the function f(x). Find…

A: (Since it is not mentioned which question to solve and question 4 part 2 is not clear so Solving the…

Q: 2.y lim (x.y)-(0.0) 12x- Show that does not exist. -1ly

A: We will show that limx, y→0, 02xy212x2-11y4 doesn't exist. One path: (along x=0)    limx, y→0,…

Q: Find lim,-1 f(x) -3 -2 -1 2 O lim,→-1 f(x) = 2 O lim,-1 f(x) = 1 O lim,-1f(x) = -1 Lx→-1 f(x) = –1 O…

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Q: 4. Is it possible that there exists some function g(x) and some constant L such that lim g(x) = lim…

A: First we need to understand definition of limit:

Q: Find the limit, if it exists. (x² – 16 if x>0 Let f(x) =x2 -16 if x<0 x- 4 Find lim f(x). x-0- 00 -4…

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Q: For the function f(x) (X^2-3 if -3 ≤x2 C) is f continuous at x=2? D) does lim f(x) exist at x->4^-?…

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Q: 2. Create a graph of a function which satisfies all of the given conditions. D = {x € R|x # -2} lim…

A: Solution

Q: Find lim h(x), if possible. X- 00 f(x) = -4x2 + 5x – 3 f(x) (a) h(x) = lim h(x) = X- 00 f(x) (b)…

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Q: 2. Create a graph of a function which satisfies all of the given conditions. D = {x € R|x = -2} •…

A: Given: The function satisfies the condition…

Q: Draw a graph of a function y = f(x) compatible with the informations given below. lim x→−∞ f(x) = −4…

A: We need to draw a graph of a function y = f(x) compatible with the information given below.

Q: - m- J. lim x - 3 * x + 2 lim 2: *2x + 2'x² - x -6 3 m4 as x approaches m lim 2x – 12 lim x-+6 Vx –…

A: According to our guidelines, we can answer only 3 subparts of a question. Others can be reposted.

Q: Sketch the graph of a function y = f(x) with all of the following properties. a. f'(x) > 0 for -9sx…

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Q: 5. lim -0.01 -0.001 -0.0001 0.0001 0.001 0.01 f(x) x-4 : lim x0x2 - 16 Mel

A: To complete the table and make the graph

Q: 1) lim r-3 x² – 3x x3 - Vx+4–1 2) lim x→-3 x+3 3) In the below graph (figure 1.1.2), figure 1.1.2 -2…

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Q: lim is x-0 X O A. 0 О в. 1 C. 8.

A: B. 1

Q: Sketch the graph of an example of a function that satisfies all of the given conditions limx)=0 lm…

A: TO FIND: Correct Graph of the function

Q: 6. Given the graph of g(x) below, evaluate lim (g(x)) x→4 -3- -2- 4 -1- DNE (does not exist) 4 -1…

A: Thats easy. Have a good day!!!

Q: 2. Create a graph that satisfies the given conditions. im f (x) = -∞, lim f(x) = ∞, lim f(x) = 0,…

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Q: The graph of f(x) passes through the point (4, 0). The slope of the line tangent to the graph at the…

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Q: 1 (b) lim [F(x) – g(x)] x-0 DNE (c) lim [f(x)g(x)] X--1 lim fx) x-3 g(x) 1 (d) (e) lim [x²F{x)] x-2…

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Q: (d) lim f(x) x-3 g(x) (e) lim [x²f(x)] x-2 (f) f(-1) + lim g(x) x--1

A: Observe the graph on given limits and see the value of function at the given limits and solve the…

Q: 5. lim V2x +1 X-4 6. lim -) ズー1 x-1 CABA 3x+4 if x <-3 AT 7. lim f(x), where f(x) = 2-4 ifx2-3

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Q: 1 Let f(x) =. 1,0sx<2 .Determine lim f(x) -x² + 4x – 3, x 22 X2+

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Q: Consider a function x-1 if x 1 (a) Find lim f (x) if it exists. If it doesn't exist, explain why.…

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Q: a) lim- 1 3x +x+1 -x +5x b) lim f(x) where f(x)={ (4x xs2 3x x>2 sin 2x c) lim g(x) where 2+x < g(x)…

A: alimx→∞−x2+5x3x2+x+1Divide and multiply by x2limx→∞x2−x2+5xx2x23x2+x+1x2limx→∞−1+5x3+1x+1x2=−13

Q: Find lim h(x), if it exists. X- 00 f(x) = 3x2 + 2x + 9 f(x) (a) h(x) lim h(x) = X- 00 f(x) h(x) = x2…

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Q: 1 d) limy-→0- e) lim,o (1+ r/n)" 1 f) lim→0 x +

A: L'Hospital Rule : If limx→af(x)g(x) is in the form 00 or ∞∞, then limx→af(x)g(x) = limx→af'(x)g'(x)

Q: 6 – x – x2 if x 1 Use a graph to determine the following limits. Enter lim f(x) x →1- lim f(x) =…

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Q: 1. Sketch the graph of a function with the given properties. lim f(x) = 2, lim f(x) = -, lim f(x) =…

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Q: a. lim f(x) =1 and f(0) = -3

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: x² +1 if x -1

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Q: 1. Sketch a graph of a function f(x) with the following properties: f(-2) = 0, ƒ(2) = 0, lim_f(x) =…

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Q: x4/7 – 1 lim f'(a) where x→-1 x + 1 f(x) = and a = x4/7 lim x + 1 1 х>-1 II

A: Explanation of the solution is given below...

Q: 1. Consider the given piecewise function f(x), find the limits at the given values. State if the…

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Q: 1/(1+e^(1/x)) state the value of each limit. lim f(x) as x -> 0- lim f(x) as x ->0+ lim f(x) as x…

A: Given:  f(x)=11+e1/x

Q: g) Y2-Y1 X2-X1 h) f(x+h)-f(x) (x+h)-x i) lim-0 f(x+h)-f(x) (x+h)-x i) lim-0 f(x+h)-f(x) (x+h)+x

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Q: 1 + x +1 1 h 4 -2 (a) Lim–1 (b) Lim h→0 V5h + 4 – 2 X-0 X 5 t3 – 1 (c) Lim- = 3. t→1 t-1

A: (a) We take L.C.M. in the numerator and cancel the common terms in numerator and denominator. Then…

Q: 1 | 1. lim f(x), where f (x) = x→1 x² – 1° f (x) f (x) 1.002 0.998 1.001 0.999 1.0005 0.9995 1.00001…

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Q: x -1 ifx1 (a) Find lim f(x) if it exists. If it doesn't exist, explain why. (b) Find lim f(x) if it…

A: Given query is to find indicated limits.

Q: 1. Evaluate lim (2x-5) given its graph below. X-2 b. -1 c. 2 d. 1 а. О 2. Given the graph of f(x)…

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Q: 2. a) Find lim g(x), lim g(x) and lim g(x) x→1- x→1+ x→1 b) Find f(1). c) Is g continuous at x = 1?…

A: Follow the procedure given below.

Q: Let f(1) = 2. lim7(x)-v2 = V2 and g(x)=arctan(xf(x)) . Then g'(1) =? x-1 1 2 3 3

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Q: alignment at x² + x – 1 limx→ 2x2 — х + 1 has a horizontal at???

A: Topic = Limits

Q: 1. Prove using e-d definition. (d) lim (4x + 3) = 7 x→1 x2 – 9 = 6 - (e) lim x→3 x – 3

A: To prove the limit using epsilon-delta definition

Q: 3. Determine the limit graphically. Confirm algebraically. x - 1 lim x-1 - 1 1² - 3t+2 lim 1-2 1² 4…

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