6. For the function h whose graph is given, state the value of each quantity, if it exists. If it does not exist, explain why. (a) x→-3- lim h(x) (b) x--3+ lim h(x) (c) lim h(x) x--3 (d) h(3) (e) lim h(x) (f) lim h(x) x→0+ (g) lim h(x) (h) h(0) (i) lim h(x) x→2 (j) h(2) (k) lim h(x) x→5+ (1) lim h(x) x→5- 4 2- -4 -2 4

Q: 2. Construct a table of values to investigate 1 if x -1

A:

Q: What can we conclude about lim(x,y)->(0,0) f(x,y) from the given function and its level curve graph?

A: General equation of curve along any c is yx=c. Thus get equation for y2: yx=c  y2x2=c y2=cx2

Q: 11. If f(x)=Vx f(x)-f(4)| The lim x→4 х-4

A: Given: fx=x To Find:  limx→4fx-f4x-4=?

Q: 10. Find the indicated limit. x²5x - 14 lim x→7 x - 7 Show any work necessary

A:

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

A: the given limits are:

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning.

A: Consider two functions fx & gx By algebra of limits, we have, 1. limx→a fx+limx→a gx=limx→a…

Q: Determine whether the shown statement makes sense or does not make sense, and explain your…

A: The functions whose graphs can be drawn without lifting the pencil off the paper is a continuous…

Q: Calculate the limit lim |x+2| / (x+2) as x is approaching 5000^-

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: 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: . lim (3 – 2e

A:

Q: 1.Can you easily apply the addition rule for limits to this function? Why or why not? What is the…

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

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 the limit of the function lim x → − 6 ( 2 x + 12 | x + 6 | )

A: Find the limit

Q: Find the one-sided limit

A: Given: limx→2+ xx-2 To Find: To evaluate the given limit.

Q: ; Be h(x) = - 2x + 1, x + 3 calculate lim h(x) 7,x = 3 x-3

A:

Q: Determine the limit at infinity. 4 22) lim 9 - (5/x²) X→-0

A: step 2 complete solution

Q: 8. Evaluate the limit by using a change of variable. x* - 1 Vx – 2 а. lim 8 x - 8 d. lim Vx – 2 27…

A: According to the L' Hopital rule, if the limit of a rational function, f(x)=N(x)D(x) , is to be…

Q: 3. If f is a continuous function, what can you say about lim f(x)?

A: Given thatf is continuous To determinelimx→1f(x)

Q: Suppose a state's income tax code states that tax liability is 18% on the first $19,500 of taxable…

A: The tax function,   T(x)=a+0.18xx≤19,500b+0.14x-19,500x>19,500

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: 13. Sketch the graph of f (x) = }" Sx² + 1 if x -1 and use it to evaluate lim_ ƒ (x) and X→-1- lim…

A: Given that: f(x)=x2+1    if    x≤-13            if     x&gt;-1

Q: 2. If it exists, find lim f(x) where X--1 x =-1 f(x) = { *x– 1)³, x+-1 4, If the limit does not…

A:

Q: suppose f(X)->  -250 and g(x)->0 with g(x)>0 as x->2. Determine lim->2  f(x)/g(x)

A: Given: limx→2f(x)=-250 and limx→2g(x)=0 and g(x)&gt;0

Q: 3. Find the limit of +2x+3 lim X-2 V x+5

A: As per Bartleby guidelines, we will solve only first question To find the limit of limx→2x2+2x+3x2+5

Q: 4 Use the following graph of f(x). 2- a. find the limƒ (x) x--3 b. find the lim f (x) -2- c. is f(x)…

A:

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: Determine the infinite limit. lim 3 sec(x) x- (T/2)+ X 00 - 00

A: Given limx→π2+3xsecx, to find the limit

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: (3) Find the limit. 1- x lim 1+3- X – 3

A:

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…

A: Given,          limx→2-fx=3.5 and limx→2+fx=6.5We know that,           Condition of double sided…

Q: 3) If lim dt) = 5, can there be a vertical asymptote in the graph of d(f) at t = 0?

A: Given               :  limt→0- d(t)=5   Not Given       :  limt→0 d(t)=? limt→0+ d(t)=?

Q: Find the limit x-5 lim x→5 x²-25

A:

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

A:

Q: 4) Find the value of each limit: х* + х —6 а. lim х-я х — 2х-15 x→1 | Vx – 1 lim х—1 х — 1 b.

A: The limit of a function is the value of the function when the arguement of the function tends to a…

Q: Analyze the function. +Cx)= Domain: Range: Equation of Asymptote: Intervals on which f(x) is:…

A: As this is a multiple subpart question, according to the Bartleby answering rule, only first three…

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: Suppose that lim as x approaches infinity of f(x) + x^2 = L for some number L. Then lim as x…

A:

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: Estimate 1/1−2^1/x from the graph limx→0+

A:

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: estimate the limit numerically to two decimal places or state that the limit does not exist

A: Given:

Q: 6) Find lim f(x). X>T/2

A: Given graph we have to find limx→π2f(x)

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: If f (x) = -x² + x, which expression represents f'(x) ? %3D -(x+h)?+(x+h)-(-x²+x) А. h…

A: We know that f'(x)=limh→0f(x+h)-f(x)h. Here, f(x)=-x2+x.

Q: 2. a. Draw a graph with the following characteristics: lim f(x) = 3 X->2* lim f(x) = 0 %3D x-→2 f(2)…

A: The graph has the properties,limx→2+f(x)=3limx→2-f(x)=0f(2)=3limx→-1f(x)=-2f(-1)=1

Q: Find the limit x lim- +x+2 X + x +1

A:

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.