For the function h whose graph is given, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.) y -4 -2 -4 -2 6 (a) lim h(x) x--3 (b) lim h(x) x--3* (c) lim h(x) X -3 (d) h(-3) (e) lim h(x) (f) lim h(x)

Q: Graph B 1,0 4,0 f(3) = lim f(x) = x-3- lim f(x) = x-3+ lim f(x) = x-3

A: The filled is circle at the point (3,-3) that the value of function exist at point x=3, which is -3.…

Q: At x = 3 + Ax, the value of the function is f(3 + Ax) = 17 - + Ax Hence, (3 + A3²) -( 17 m = lim Ax…

A: Solution: The objective is to fill the required blanks

Q: Use the graph of f to find the indicated limit and function value.

A: Limits are used to find the "approaching" value of the function at the "approaching" point

Q: (a) lim [f(x) + 3g(x)]

A: Given:  limx→2  fx=1,  limx→2  gx=-2,  limx→2  hx=0 To Find:  limx→2  fx+3gx=?

Q: 10х?-3х+1 a) lim x→00 7x2+3x-3

A: Given: limx→∞10x2-3x+17x2+3x-3 For evaluating given limit, we take x2 common then simplify it

Q: The graph below is the function f(x) 5+ 4 02- -5 A -3 -2 -1 1 2 3 4 5 -2 -3 -4- -5+ Find lim f(x) x→…

A: Graph of the function is given , we have to find the given limits

Q: x² +3x +3 (a) lim x-1 X-2

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Graph C 1.0 1,0 f(3) = lim f(x) = x→3- lim f(x) = x-3+ lim f(x) = x→3

A: The value of function is the one which is denoted by filled bubble

Q: b) lim x-13 X-0

A:

Q: How do you solve this question

A: We know that, Limit of a function exist only when its left-hand limit is equal to the right-hand…

Q: 6. For the function h whose graph is given, state the value of each quantity, if it exists. If it…

A: Given:

Q: x? — х - 2 lim х->-1 x? + 3x + 2 X→-1

A:

Q: V6-x-2 If f (x) = Solve to find lim f(x)? х--2 V3-x-1'

A: On putting 2 we get 0/0 .  So it is indeterminate form.

Q: For the function h whose graph is given, state the value of each quantity, if it exists. If it does…

A: since you have posted multiple subparts we solve first three subparts for you To get the solution of…

Q: b) lim h-0 (x+h)20-x20 =? h

A:

Q: The graph below is the function f(x) -5 -4 -3 -2 Find lim 4 3 2 01 Find lim -1 I→-1- 34 Find lim…

A: Given the query is to find indicated limit from the graph.

Q: Theory and Examples

A: Consider the following: limx→4fx-5x-2=1 Simplify by applying the limits:…

Q: 5 5 Find the result of this equation and put it in the blank a) lim f(x)

A: Right hand limit

Q: 3. y = f(x) 4 6. -1 lim f(x) =

A:

Q: x2 + lx 30 What is the lim I -6 x2 + 5x – 6

A: According to our guidelines we can solve only one question so we are solving the 2nd question for…

Q: 6. For the function h whose graph is given, state the value of each quantity, if it exists. If it…

A: g. For limx→0hx From the graph we can see  limx→0-hx=1 left hand limt at zero. limx→0+hx=-1 right…

Q: X-2 X-2 X-2 f(x) lim x-2 9(x) – h(x) f(x) /Simpliify vour ancwor)

A: We are asked to evaluate the limits

Q: (x + h) – x .3 - 31. lim

A: From the given data:

Q: a) lim g(x) = x→-2- b) lim g(x) = x→-2+ c) g(x) = lim x--2

A: We can answer first three parts as per the honor policy. Please resubmit other parts as well to know…

Q: The graph of the function f is above. At what x= a value(s) in the interval (-2, 5) does a. lim f(x)…

A: a. The limit of a function fails to exist at some x=a if  (i) The one-sided limits are not equal…

Q: V9 +h - 3 lim h-0 h

A: Given Data: Limit,   First, multiply and divide with (sqrt(9+h))+3 in the expression of limit and…

Q: Graph the shown function and use the graph to find the given limit.

A: the given function is: f(x)=2x-4,          if  x≠3-5,              if x=3 we have to graph the…

Q: 2. Given the function g(x) = 1-x², graph and find lim g(x) a. b. lim g(x) C. lim g(x)

A:

Q: x - 6x +5 8. lim X5 x- 5 (-5+h)' - 25 10. lim h-0

A: Given: To Find: Value of limit

Q: 1. Using the graph of f(x), what is lim, -f(x)? A. - 00 B. 0 C. -2 D. Does not exist E. 00 A

A: The graph of f(x) is represented by two infinite curves.

Q: x2-x-6 lim Find: x-2

A: Given

Q: V1-x3 15. lim x-1- V1-x2

A: the given limit is: limx→1-1-x31-x2 we have to evaluate the given limit.

Q: (a) 1? - 9 lim --3 21? + 7t + 3 (ांच 1 (b) lim t/1 + t 4 lim x--4 4 +E x (c)

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: x² - 1 if x 2 x→2* а) 4 b) – 3 с) 3 d) – 4

A: Given function is  g(x) = x2-1   if x≤2x+2    if  x >2 the function is defined in two intervals.…

Q: (2 + h)-1 – 2-1 lim h0 h

A: Simplify 2+h-1-2-1h by taking LCM in nominator,then apply limits.

Q: V4-3x, if xs-4 g(x) = 16 げx>-4 a) lim g(x) = b) lim g(x) = c) lim g(x) =, x-4 x-4 x-4*

A: We are asked to find  limit of the function.

Q: S1 - x, x+ 1 a. Graph f(x) 12. x = 1. b. Find lim, 1+ f(x) and lim, 1- f(x). c. Does lim,1 f(x)…

A:

Q: V3+x-V3 If f(x) = Solve to find lim f (x)?

A: we have to find the limit

Q: - 5 f(x) - If lim X-4 X - 2 1, find lim f(x). %3D

A: Given limx→4fx-5x-2=1 To find limx→4fx

Q: -7 -1 3 5 -1 -2 -3 -4 ー5 -6- -7 -8- de your answer below: a. lim f(x) = xラ-6 5. lim f(x)= O

A: Given:   Graph is given

Q: A. lim x? + 3 x -0 B. lim (2x + 5) x -2 C. lim (2x + x2) (2х + x-2

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: -3 -2 -1 -1 -2 -3 lim f(x) For the graph above, find -4 3. 2.

A:

Q: a) lim e2/(x-5) x→5-

A:

Q: y 3 1 -5 -4 -3 -2 -1 3 4 -1 -2 -3 lim f(r) Z-2+ For the graph above, find 2)

A:

Q: Find the limit

A:

Q: The graph of f(x) passes through the point (4, 0). The slope of the line tangent to the graph at the…

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: