For the function f whose graph is shown, state the following. (If an answer does not exist, enter DNE. -7 -3 (a) lim f(x) X- -7 lim f(x) (b) X- -3 (c) lim f(x) X- 0 (d) lim_ f(x) x- 6 lim f(x) X- 6" (e) (f) The equations of the vertical asymptotes. X = (smallest value) (largest value)

Q: Find limit of lim x-->0 of f(x)= (e3x-3x-1)/(4x^2

A: Given limx→0e3x-3x-14x2

Q: SOLVE BY LIMIT DEFINITION x-1 d) limx→3 6-2x

A: To find: Value of the limit, d limx→3x-16-2x

Q: the limits if it exists, if it does not explain why. (1) lim ()" (ii) lim

A:

Q: Estimate the one-sided limits for the function below.  f(x)=(11−x)/(x−8)^2   lim f(x)= x-->8+…

A: Given function is

Q: Find the limit. - 9x lim x+2 x→-2 - 9x lim x+2 x→-2-

A: To evaluate: limx→-2--9xx+2

Q: Create a table of value (use 8 values- 4 on the left and 4 on the right) and a calculator to the…

A: topic- limits

Q: Estimate the limit numerically. x² lim +14x+49 -7 x+7 O-7 Oto∞ O-1 00

A: Given limit is We will use the factorization method to evaluate the limit By using the result that…

Q: Evaluate lim x->-1 if f(x) {  1/x if x < -1                          { x2 - 2 if x ≥ -1

A: To evaluate: The limit limx→-1fx. Given: The function is fx=1x,        If x&lt;-1x2-2    If x≥-1.…

Q: If lim f(x)=-2 x-->0+, lim f(x)=3 x-->0-, and f(0)=-2, what can you say about lim f(x) x-->0?

A:

Q: Estimate lim→-4 f (x). Estimate lim-→-2 f(x). Where is f(x) discontinuous?

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: Hence, find the value of lim f(x). x→-3 lim f(x) Enter your next step h x→-3

A: Given,          Consider the graph of a function, fx , shown below :

Q: Sketch the graph of a function with the given limits.

A: Given the function with the limits.

Q: 3 If lim f(x) = 3.5 and lim,-2+ f(x) = 6.5 the function has a double sided %3D x-2- limit or one…

A: A limit is the value that a function approaches as the input of that function approaches a certain…

Q: Find the indicated one-sided limits, if they exist. -x + 6 15x + 5 if x s 0 if x > 0 f(x) = lim f(x)…

A:

Q: 2. Write the equation of a function that is discontinuous at x=5, but lim f(x) exists, and is…

A:

Q: Find the limit of the equation.

A: Limit x-&gt; pi/4 means x is approaching pi/4 .Plug x=pi/4 in the expression.

Q: Draw a graph where lim x→2 f(x) exists but f(x) is discontinuous at x = 2. Name the type of…

A:

Q: find Vx+4--x-2 1- lim --3 x+3

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: Find the value of * lim - 1 - 1 1 +x

A: Let us take f(x)=x11+x-1. Then we have to find limx→0f(x).

Q: Find the limit 1-ex lim x+0 10x2 – 18x

A: Here we have to use the concept of limit.

Q: Guess the value of lim x 0 (tanx-x)/x3

A: Given :          limx→0tanx-xx3

Q: Calculate the limit if it exists: lim x→4 for 5/(x-4)2

A:

Q: Find the Limit: 1. lim (2x + 5) x--7 3. lim(-x + 5x 2) 5. lim 8(t - 5)(t - 7)

A:

Q: Limit as x approaches 2 of (x3-8)/(x-2)

A: Obtain the value of the limit as follows.

Q: Find lim_f(x), if it exists. If it does not exist, explain why. X--4"

A: Follow the procedure given below.

Q: Find the one-sided limit (if it exists).

A: Given :                       f(x) = limx→2- 1x2-43

Q: Find the indicated limit algebraically. Show complete solution. 2x -x-3 1. lim x--1 2. lim () x+1…

A: Solution: Consider the given limit function is limx→-12x2-x-3x+1 We can factorized numerator and…

Q: 3) lim (x² + 1) X--1

A: Limit is a basic concept of calculus  which shows the behaviour of a function  when it tends to that…

Q: If lim f(x) =5 x-->1- and lim f(x)=5 x-->1+, what can you say about lim f(x) x-->1? What can you say…

A:

Q: Numerically determine the limit 8+x3 limx--2 2+x

A:

Q: Find the limit. y 6- 5- 4 3- 2 1- 3-2 -1 -1 1\2 3 4 5 -2t limz-0 f (x)

A:

Q: Suppose that ƒ is an odd function of x. Does knowing that lim x--&gt;0+ ƒ(x) = 3 tell you anything…

A:

Q: If f and g are two functions such that lim f(x) as x --> a = + infinity and lim g(x) as x --> a = +…

A: Given: f &amp; g are two functions such that, To check if this statement is True or False

Q: Create a table of value (use 8 values - 4 on the left and 4 on the right) and a calculator to the…

A: Given problem:- Evaluate limx→610-x-4x+6by using 8 values table 4 left and 4 right

Q: Find the limit of the equation.

A: Given limit

Q: Find the one-sided limit (if it exists).

A:

Q: lim (-Y" 2. スーラ ル

A: Sure.

Q: 1. If V5 - 2x² s f(x) s V5- x? for -1sxS1, find lim,-o f(x).

A: Answer and explanation is given below...

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

A:

Q: 1. lim (x+ 2) r→4

A:

Q: Suppose that limx→2[f(x)+x2]=α. Find  limx→1(x+1)f(2x)

A:

Q: If 3-2x sf(x)s3-x for -1sxs1, find lim f(x). lim f(x) =|

A: Calculate left hand limit and right hand limit than find the limit using sandwich theorem.

Q: 3- If lim f(x) = 3.5 and lim,2+ f(x) = 6.5 , the function has a double sided x-2- limit or one sided…

A:

Q: Suppose y = f(x) is defined for all x. Sketch a graph with the indicated property. discontinuous at…

A: See the attachment

Q: 1) If lim f(x) = , what asymptotic behavior will be illustrated in the graph of f (x)?

A: 1) If limx→6-fx=∞, then the value of the function fx tends to infinity as x→6 from the left hand…

Q: Find the limit. x + 3x - 10 lim x+5 x--5

A: It is given that,       limx→-5x2+3x-10x+5 We have to find the limit.

Q: 3 - If lim f(x) = 3.5 and lim,-2+ f(x) = 6.5 the function has a double sided %3D limit or one sided…

A:

Q: Show that a function cannot have two different limits at the same point. That is, if limx--&gt;c…

A: Let f(x) be a function which is defined everywhere in an interval except x=a, then , If for all ,…

Q: Graph the function on a graphing calculator on the window x = [-5, 5] and estimate limit. Then,…

A: A function f(x)=x2+8x+16. We have to graph the function on the window [-5,5] and estimate the limit.…

Q: Find the limit. 7) x6- (x - 6)2 lim A) -- B) = C) 0 D) -1

A: here option b is true

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.