x2 - 4 if x <2 C. Sketch the grahp of f(x) = 1 x -1 if x >2 Refer on your graph to find the limits of the folowing a) limy-o f (x) = b) lim-2 f(x) = c) lim,4 f(x) =

Q: Find the one-sided limits of f(x). - 7x + 3 -2r- 4 if x> -2 if x < -2 f(x) = Step 1 of 2: Find lim…

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Q: Determine whether the function x2 + 2 x > 2 f(x) = x = 2 is continuous at the 4х — 2 x < 2 given…

A: First of all we will find the left hand limit at X equal to 2 and then find the right hand limit X…

Q: 4-If. 2-x < flx) < 2Cos(x) for all x then find: lim f(x)

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Q: Determine if the following piecewise-defined function is differentiable at the origin. 9x - 4x - 7,…

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Q: Find the one-sided limits of f (x). - 2x + 7 if x < -3 f(x) x + 4 x + 3 %3D if x 2 -3 Step 2 of 2:…

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Q: Determine if the following piecewise-defined function is differentiable at the origin. 4x - 6x° - 1,…

A: topic - derivatives

Q: 2. Evaluate the limit assuming that lim f(x) = 3 and g(x) = 1. x--4 (a) lim f(x)g(x) x-4 (b) lim…

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Q: Find the limits 4 lim x-0 x²/5

A: We know that, limx→0ax=∞; a is any of positive constant

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Q: V-1- x + 2 if x -- 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim…

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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: Let (x) - x + 4 if x <1 lx - 2)2 if x2 1 (a) Find the following limits. (If an answer does not…

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Q: Show that the function f(x) = |x - 3| is not differentiable at 3. We have x- 3 if x 2 3 f(x) = |x -…

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Q: 2x+1 if x < 2 Let f(x) = x²-1 if x ≥2 Determine the one-sided limit lim f(x). x 2+

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Q: Show that the function f(x) = |x - 2| is not differentiable at 2. We have if x 2 2 f(x) = |x - 21 =…

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Q: Use l'Hôpital's rule to find the limits x- 2 7. lim X2x - 4 x? - 25 8. lim -s x+ 5

A: l'Hospital rule is used when the value of the function is not defined by directly substituting the…

Q: 2x+1 if x 2 Determine the one-sided limit lim f(x). x-2- 2

A: The given function is:

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

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Q: (2) Find the limit of the following: (a) lim 47 x2 -4 (c) lim x-1 1-x (b) lim (3x+11) X-4 x2 - 2x-63…

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Q: 1 if x – 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = x -…

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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…

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Q: Suppose that a function f(x) is defined for all real values of x except at r = c. Does it imply the…

A: Here we have to check whether the limit exists or not.

Q: [3 3. Consider f (x) =- 2х - 3 if x< 0 Find lim f(x) if x20.

A: To determine the limit of the function.

Q: V-5 – x + 5 if x 6 - Calculate the following limits. Enter "DNE" if the limit does not exist. lim…

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Q: The process by which we determine limits of rational functions appliesequally well to ratios…

A: limx→∞2x53-x13+7x85+3x+x

Q: A function f(x) is said to have a jump discontinuity at х — аif: 1. lim f(x) exists. x → a 2. lim…

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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: Find. 1) a. lim f(x) and b. lim f(x). x-0- Find the limit, if it exists. x2 + 4 2) lim X-2 x+2 3)…

A: Here function is given and we need to find limit

Q: Let ƒ(x) = (x2 - 1)/( | x| - 1). Make tables of the values of ƒ at values of x that approach c = -1…

A: Make tables of the values of ƒ at values of x .

Q: Show that the function f(x) = |x – 2| is not differentiable at 2. We have if x > 2 f(x) = |x – 2| =…

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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: Find the value (1) lim (x,y)-(2-3) (3) lim (xy)-(11) √x-√√y of the following limits: x²-2xy + y²…

A: As per the instruction, post the question again for question (5). For (1),    limx, y→2,…

Q: Find the limits as x - 0o and as x - -00. y = f(x) = (3 – x)(1 + x)?(1 – x)4 lim f(x) = lim f(x) = X…

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Q: Show that the function f(x) = |x – 2| is not differentiable at 2. We have if x > 2 f(x) = |x – 2| =…

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

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Q: Establish Limit at x=1 using.graph of function Let f (x) = 3x +1. Use Desmos to graph the function.…

A: Since, you have post multiple question. I am answering first one, please post again for the…

Q: The function f(x) of the below graph is discontinuous at x = -1 because: a) f(-1) does not exist b)…

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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: Find the limit. x* – 1 - lim x→0+ In (x) +x – 1 п lim ( 1+ n

A: These question is based on Limits.

Q: Find the limit of f(x)

A: Given information

Q: - f(x) = -1; lim lim 16. Suppose x-3+ f(x) = -1; and f(-3) is not defined. x-3- Which, if any, of…

A: Given that limx→-3-f(x) =-1 and limx→-3+f(x) =-1. Which implies that limx→-3f(x) =-1. So, Statement…

Q: 1. Determine whether the function ƒ(x) = x² + 6x +9 is continuous at x = -2. Sketch its graph…

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Q: the limit is negative infinity enter "-INF". x2+4x-12 lim→2 x2 –4 x2 +4x–12 lim→-2 x² –4 x2 +4x–12…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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 3. lim x0…

A: Find the limit for the given function . We use for calculate value of limit L' hospital rule (When…

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

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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: Q1: b: Evaluate the limit: (1) lim-11 17-1 x-1 -2x-4 (2) lim,--23+2x² sin(x-3) (3) lim,-3²-9

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Q: Find the limit of f(x) = 6 - 2 as x approaches o and as x approaches - o. lim f(x) = %3D (Type a…

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