(a) Graph the given function, (b) find all values of x where the function is discontinuous, and (c) find the limit from the left and the right at any values of x where the function is discontinuous. 14 if x< - 1 g(x) = { x2 +5 if -1sxs3 14 if x>3

Q: The initial substitution of x = a yields the form . Simplify the function algebraically, or use a…

A: limx→8x3-512x-8 yields form 00 when x=a is substituted. Lets algebraically simplify x3-512x-8.…

Q: A function is said to have a vertical asymptote wherever the limit on the left or right (or both) is…

A:

Q: For the function g whose graph is given below 구 2- 10 -9 -8 -7 -6 -5 -3-2 Determine the the limit of…

A: find the limit of function at given points.

Q: Find the limit algebraically. 2x lim 16 -x - 4 O - 16 O 16 O -8

A:

Q: 1. Construct the table of values, sketch the graph and find the vertical asymptote of f(x) x-4 a.…

A:

Q: Oす O The limit does not exist. 0-2 -2 4. 3- 2- 54-3-2 2- 3. For the graph shown, what is lim f(x)?

A: The solution are next step

Q: (a) lim 5x*+3x²-6r+10 2x4-3.x-4 4. Find the limit:

A: Given, Evaluate limit :limx→∞ 5x4+3x2-6x+102x4-3x-4

Q: For the function A whose graph is shown, state the following. (If the limit is infinite, enter 'o'…

A:

Q: 2x +k-x-6 13) Solve for k so that the following limit is true: lim = 7 x-2

A:

Q: Find the limit. I + 12 -4 lim x-2 X-2

A: Given: Calculations: If we substitute x = 2 in the function, then we get (0/0) form which is an…

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x2 - 64 lim…

A:

Q: Find the limit (if any) Vx -5 lim x-25 T-25

A: Given the limit function limx→25x−5x−25

Q: Find, as shown;

A:

Q: |x= 8| f (x) = Evaluate the left-hand limit of as X8. 16- 2x O 1/2

A: Given,            fx=x-816-2x as x→8To find : Evaluate the left-hand limit of the given function.

Q: Find the limit, if it exists. x² - 8 lim x - 00 5x - 9

A: We will find the limit as following.

Q: The graph below is the function f(x) 구 -8 -7 -6 -5 -4 -3 \2 -1 -2 -3 -4 -7 of lim f(x) = x → - X…

A:

Q: The initial substitution of x = a yields the form Simplify the function algebraically, or use a…

A: Here we have, limx→33x2+x-30x2-9

Q: Let ƒ(x) = (3^x - 1)/x. a. Make tables of values of ƒ at values of x that approach c = 0 from above…

A: Consider the function, We make a tabular column for different values that the function takes as x…

Q: Use limits to find the vertical and horizontal asymptotes of the function  f(x) = \frac{x^2 + x -…

A: The vertical asymptote is: x = a where a is such that limx→af(x)=±∞ The horizontal asymptote is:…

Q: • For the graph of the piecewise function f(x) shown below, determine the values of the left- sided,…

A:

Q: 6. a) State why the limit of f(x) = √5x - 1 does not exist for x

A: Please refer to the image below

Q: (a) What is the vertical asymptote of this function and its behavior near it in the form of a limit?…

A: The asymptote is obtained as the line which will have the distance from the graph leading to 0 as…

Q: 2x3-128 1. Evaluate the following limit if it exist. lim x→4 vx-2 2x+1 2. Find the vertical…

A:

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: Given function fx=7x-2if x&lt;84x+5if x≥8

Q: Зx2+kx+k+3 lim X→-2 х2+x-2

A:

Q: Given the following piecewise function, 2x2+3x-5 f(x) = x 0 1. Identify and classify points of…

A:

Q: (a) Use a graph of f(x) = V 3x2 + 8x + 3 - V 3x2 + 3x + 2 to estimate the value of lim f(x) to one…

A:

Q: The graph below is the function f(2) 6- 4. 2. 6 -7 -6 -3 -4 -5 -6- -7. lim f(x) : %3D Enter the…

A:

Q: Graph the given function, (b) find all values of x where the function is discontinuous, and (c) find…

A:

Q: x-9 Analyze the following limits and find the vertical asymptotes of f(x) = x -81 a. lim f(x) x-9 b.…

A: Limit of the function

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) x4 - 8x2 + x x3 – x + 9 lim…

A:

Q: Suppose f(x) = 5x² + 3x – 4. Evaluate the limit by using algebra to simplify the difference quotient…

A:

Q: (a) Graph the given function, (b) find all values of x where the function is discontinuous, and (c)…

A: Given function, f(x)=2             if x&lt;-3x2+1      if -3≤x≤12             if x&gt;1

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) X - 8 lim x - -00 + 6 Find…

A:

Q: Use the equation for the function f to find and graph the function y = f -1(x). Then use the graph…

A: Given function is fx=x3-2. Giving function can be written as y=x3-2. To find inverse of the given…

Q: (a) Use a graph of              ______________       ______________f(x) = √3 x2 + 8x + 6  -  √3 x2 +…

A: From the graph, the value of  f(x) to one decimal place islimx→∞ 3x2 + 8x + 6 - 3x2 + 3x + 1 ≈ 1.4

Q: We say that x=-3 is a vertical asymptote of function f, if lim f(x)= ∞ A. X + -3- lim f(x)= – ∞ В.…

A:

Q: x+2 Given: f(x) = (7 – x); |x+2|

A:

Q: The graph below is the function f(x) 4 Q2 54 -3 -2 하 4 -2 -3 -4 -5+ Find lim f(x) → x → -1- Find lim…

A: Given the function  f(x) we need to find the following limits by using graph . Therefore basis on…

Q: A function is said to have a vertical asymptote wherever the limit on the left or right (or both) is…

A: Key points: 1. lim x→2-fx =  limh→0f2-h   (Left hand limit)2. lim x→2+fx =  limh→0f2+h   (Right hand…

Q: (a) Find the horizontal asymptote of the function 2x -4x+1 3+10x-6x+12 y = using a limit and showing…

A: a) or HORIZONTAL ASYMPTOTE y=2

Q: 14. Sketch the graph of any function that satisfies each of the following conditions. lim = 4 lim =…

A:

Q: x2-8x+16 e lim X→4 X-4

A:

Q: x² +7x+12 b) lim x-4" x? -16

A: We have to find limit of given rational function.

Q: A graph of y = f(x) is shown and a c-value is given. Use the graph to find the following, whenever…

A: The given graph is     To find: (a) limx→c fx             (b) f(c).

Q: 3x' +7x² +6 lim 2. e) 3. -5x' +8x

A:

Q: Find the limit. 13) 13) lim x -4+ x2 - 16 A) 1 C) 0 D) - 00

A:

Q: 3 by creating a table (fill in the table below). Be sure to state the limit after filling in the…

A: Given limits limx→5+ 3x-5 Consider the given limit fx=limx→5+ 3x-5 Substitute x=5.1, we get…

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.