A function f is defined as follows: (px2 – 4, = {2x – 1, x< 3 | f(x) = 3 < x < 5 x > 5 8-x., (a) Given that the limit at x = 3 exists. Calculate the value of constant p. (b) Determine the existence of limit at x = 5

Q: In finding the limit of a function, consider the values close to a but not equal to a.

A: Topic = Limits   TRUE

Q: 3+x; xL1 3- X 14 X 8x 40 x 480 11x -4X; 80LX 280

A:

Q: 32? And are

A: {x2                               if x&lt;-2f(x)={x1/5                           if…

Q: Find the limit

A: The given expression limx→013+x-13x

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: Prove that a function f is continuous at a limit point p iff the limit as x goes to p is f(p).

A:

Q: Q4 A) What is the value of the limit of the function f(x) as x approach 0 x+2x-3 sinx + 4 <f(x) <…

A: Topic:- limits and function

Q: 2x?-8х+7 x 0 x-6x3

A:

Q: 5. Sketch a graph off given the following conditions: - Continuous on intervals (-∞, -3), [–3, 2)…

A: To sketch the graph habing all the properties . If right hand limit is not equal to left hand limit…

Q: True or False: If limit as xà0 of f(x) equals zero then f(0)=0. If false provide an illustrative…

A: We will check whether the given statement is true or false.

Q: Differentiate the given function by evaluating the limit of the difference quotient. Work out your…

A:

Q: Sketch the graph of a function on the interval [-3, 4] that has the given properties: • An absolute…

A:

Q: Figure (a) shows a vacant lot with an 80 ft frontage in a development. To estimate its area, we…

A: It is midpoint Riemann sum      here length of interval  △x=20

Q: cos x-2sinx 1. limx-n 3cosx -2 limx-3 X-3 3x6-x*+2x-3 limy--o 4x5+2x3-5 iv. lim,→-1(x³ limy--1(x³ –…

A: [i]

Q: Which of the following is a function whose graph is continuous everywhere except at 3 and is…

A:

Q: Sketch the graph of [x+1, x1 Evaluate the limit of the function when x→1, if exist.

A: The given function is

Q: Sx² + 6,x < 2 lim x-2+ (6x + 1 ,2 < x g) |x-2| lim x→2- x-2

A: By using limit property and modules property

Q: Suppose that the functions fand g are defined as follows. f(x) = - 5x2+1 g (x) = Vx+3 Find f-g and…

A:

Q: f(x) = 2x + 3 x 1 1 ; a = 1

A: limx→1+f(x)=limx→1+x2+2                =12+2=3limx→1+f(x)=3