Sketch a possible graph for a function, f(x), where f(3)=1, f(x) is not continuous at x = 3, and lim f(x) exists. 1. (-4, 4] by [-3, 3]

Q: Suppose that lim (x,y)→(3,1) f(x,y) = 6. What can you say about the value of f (3,1)? What if f is…

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Q: 6.) Use the limit definition of the derivative to find f' (x), given f(x)=x-3 x+5

A: Consider the function

Q: Use the definition of the derviative to compute the derivative of f(x) = at the specific х 3.…

A: We will obtain the answer in two steps: We will simplify the difference quotient We will then…

Q: Suppose that f(x, 0) = 3 for all x ≠ 0 and f(0, y) = 5 for all y ≠ 0. What can you conclude about…

A: The limit of the function, f(x,y) at a point (a,b) does not exist if two paths upon which the…

Q: Find the constant a such that Va ax +4-2 lim

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Q: Find the limit. -5x cos(x) lim

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Q: Compute the derivative of f (x) = x3/2 using the limit definition. Hint: Show that

A: we have;  f(x)=x32

Q: Use the definition of the derviative to compute the derivative of f(x) = at the 2. Evaluate the…

A: Calculate the value for f(x) at x = (2 + h) and x = 2. Simplify the numerator.…

Q: Compute the derivative of f(x) = x³/2 using the limit definition. Hint: Show that f(x + h) – f(x) _…

A: We  will compute the derivative of given function  by using first principle of derivative

Q: The definition of the first derivative of a function f(x) is: Select one: f(x+Ax)-f(x) a. f'(x) =…

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Q: Let f(x) = 2x2 + x. Determine f'(1) using the definition of the derivative as a limit.

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Q: Use the limit definition of the derivative to show that the derivative does not exist at x = a for…

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Q: lim as x-->0  of (x+1-cosx)/x

A: The given limit of the function:

Q: ) Let f(x) = 3x – 1. Use the limit definition of the derivative to find f'(x). %3D (3 Marks)

A: Answer - definition of derivative f'(x) = lim h tends to 0 ( f(x+h) -f(x) ) /h

Q: given f(x)=x^2-2x use the limit defintion of derivative if f'(-2)

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Q: State the definition of the derivative of a function f. Use the definition of the derivative to…

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Q: f'(x) = lim f (x+h)-f(x) h-70 f(x) %3D

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Q: 1) Describe in your own words, how to determine the limit of f(x) as x approaches a given point and…

A: Hi! you have posted multiple questions. As per norms, we are answering the first question as nothing…

Q: According to the definition of the derivative, to compute f'(0), we need to compute the left-hand…

A: Find the derivative of f(x) at x=0

Q: 6) Find the derivative f'(x) using the limit definition for f(x)=√x-3 lim Ax→0 f(x + Ax) = f(x) Ax

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Q: Find the limit of the transcendental function. lim e-2x sin Ax X→0

A: NOTE: Refresh your page if you can't see any equations. .

Q: Use the limit definition of the derivative to show that the derivative does not exist at x = a for…

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Q: 3) Let f(x) = 3x – 1. Use the limit definition of the derivative to find f'(x).

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Q: 15. If f(x) = x2 - 6x - 9, find f(x) by using the formula/limit definition of derivative.

A: Given: fx=x2-6x-9 we know that derivative for any given functionfx by using limit definition is…

Q: 9. Sketch a graph that has the following properties: (i) ƒ is continuous on (-∞, ). (ii) f'(x) 0 on…

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Q: Find a formula for a function f that satisfies the following conditions. lim fx) = 0, lim f(x) - -0,…

A: Function

Q: The limit lim (n+1-vn- (A) equals-x (B) equals 1 (C) equals ( (D) equals +∞ O(E) does not exist

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Q: Sketch the graph of a continuous function y =f(x) that satisfies the following conditions: 1. f'(x)…

A: This question is about graphing a function

Q: 2. Find the limit of the following function sin(x - 4) lim- x-0 x- 2

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Q: Find the limit. sin(x – 3) lim х>3 x* + 5х — 24

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Q: Show work to find the derivative of the function using the limit definition of derivative. g(t) = 6t

A: solution.

Q: 6. Prove if the following function is differentiable y2 = (arctanx + 1)°*

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Q: Evaluate the limit. 5 sin(x) – 5x lim x3

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Q: The function f (x) is defined by the rule x2 +1 if x 2 - a) Calculate the left derivative and the…

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Q: Find the limit, if it exists.

A: First of all, use the limits property and apply the limits on numerator and denominator.

Q: Estimate the value of the limit lim, 40 COS x if it exists, by filling out this table and then…

A: We have to find the limit of the function and want to find some values to conclude graphically.

Q: 1. Let f(x) = 2 %3D Use the limit definition of the derivative to compute f'(-1). X+3

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Q: If 2 - x2 <=g(x)<= 2 cos x for all x, find lim x-->0 g(x).

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Q: Given a function f(x) = c, where c is some constant. Show that f'(x) = 0. (Hint: by limit…

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Q: Find the limit. lim (2 – x) tan(3«) %3D x>1

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Q: draw the graph of a function on [0, 5] with the given properties. 1, but lim f(x) and lim f(x) exist…

A: Let us assume that: So, f(x) is not continuous at x=1

Q: Use the limit definition of the derivative f (x) – f(a) f'(a) = lim - a to find f'(a) in each case.…

A: Given fx=x3-7

Q: Consider the function…

A: The graph of f is as follows:

Q: Use the definition of the derivative to compute the derivative of the function f(x) = 1 – 6x at an…

A: We plug the given expression of f(x) in the limit. This is the difference quotient.

Q: Find the limit. lim X→- 47 Vx+ 15 cos (x+ 4x)

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Q: 2. Evaluate the limit by Use the definition of the derviative to compute the derivative of f(x) = 1…

A: Given,

Q: 1. Find the points at which f is discontinuous. At each of these points, state the type of…

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Q: 6) Find the derivative f'(x) using the limit definition for f(x)=√x - 3 lim Ax→0 f(x + Ax) = f(x) Ax

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Q: f(0) = 1, f"(x) < 0 for x # 0, lim f'(x) = +0, lim f'(x) = -00

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