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) limh (x) (b) lim h (x)

Q: lim_f(x) x→-8

A: Limit

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A: Part (a)S= S(x)= 9 / x + 10 + x / 4, x ≥ 4The given function is defined only for x ≥ 4. We don't…

Q: Find lim 1+ (if it exists) X→ 00

A: Solving the problem by finding the limit.

Q: Vx+14-4 Find the value of the limit, lim- x-2 x-2

A: SOLUTION-

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

A: the given limits are:

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: 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: For the function g whose graph is given, state the value of the given quantity, if it exists. If it…

A:

Q: Find lim f(x).

A: Given limit, limx→2f(x)

Q: Let lim f(x) = 16. Find lim log4 f(x). X--3 x--3

A: Note: as per the guideline i can answer only first question for yo, more then one answer leads me…

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

A: Given the function with the limits.

Q: How do you solve this question

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Q: What are limx→+-∞ k (k a constant) and limx→+-∞ (1/x)? How doyou extend these results to other…

A: limx→af(x)=L means f(x) becomes arbitrarily close to L as long as x is sufficiently close to a.  We…

Q: Find the one-sided limit

A: Given that limx→π+ xcsc x. Compute the limit as follows.

Q: Find lim [x csc(x)] as x approaches zero.

A:

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: Use a graph to explain the meaning of

A: Given that, limx→a+fx=-∞

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

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: 5. For the function f whose graph is given, state the value of each quantity, if it exists. If it…

A:

Q: Find:

A: Given that limx→512-x. Compute the limit as follows.

Q: Sketch a possible graph of a function that satisfies the conditions below. (0) 0, lim f(x) - 1; lim…

A:

Q: Consider the function g(x)= x+3+sqrt(x2+5). Graph it in several viewing windows, if necessary, until…

A:

Q: Use a table of values to estimate the value of the limit. If you have a graphing device, use it to…

A: To find the value of the limit:limx→1 x7-1x2-1

Q: Give examples of functions f(x) and g(x) with limx→∞ f(x) = ∞ and limx→∞ g(x) = 0

A: We want to find two functions f(x) and g(x).

Q: lim (x² + 2) -2

A: Here we have to find the limit using table of values

Q: Find lim(x-4) (f(x)of the graph below

A:

Q: When lim f(x) exists, it always equals f(a). State whether this statement is true or false. Xa

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: Find the limit. sin(x - 5) lim x* + 4x - 45

A: Given : limx→5sinx-5x2+4x-45

Q: Vz - vā lim х-а 11(х — а) xa

A: Given - Function  To Find - Limit of function

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 lim, x2-4 Does the function have a vertical asymptote? If yes, what is its equation.

A: Vertical asymptotes are vertical lines that correspond to the zeroes of the denominator of a…

Q: The lim(x0) [f(x)] fails to exist because.. (refer to the graph below) * As the function approaches…

A:

Q: Find lim x+x:

A:

Q: Find  lim x+8/x-1 as x approaches -2 approaches

A:

Q: Given the graph of the function below, what is lim f(x)?

A:

Q: 1. lim (x+ 2) r→4

A:

Q: Use a table of values to estimate the value of the limit. If you have a graphing device, use it to…

A:

Q: Use a table of values to estimate the value of the limit. If you have a graphing device, use it to…

A: Given lim x→0 [(6^x-5^x)/x] If we put the variable value x=0 in the given function we get…

Q: Use a table of values to estimate the value of the limit. If you have a graphing device, use it to…

A: Explanation of the answer is as follows

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

A: See the attachment

Q: Find lim h-0 f(5+h)-f(5) h if f(x) = -2x-1.

A:

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

A:

Q: Write a simpler function that agrees with the given function at all but one point. Then find the…

A: To evaluate: limx→-1x3+1x+1. Given expression is not defined at x+1=0⇒x=-1. We know that,…

Q: if Lim EGx) -5 メ→2 X -2 Fina Lim f (x) メ→2

A:

Q: Sketch the graph of a function f such that: limf(x)=0 X-7

A: We take a function  f(x)= 1/(x-7)

Q: If lim x) - 2 x-1 x - 1 DNE lim f(x). = 7, evaluate

A:

Q: Find the limit. (If you need to use o or -oo, enter INFINITY or -INFINITY, respectively. Round your…

A: lim  ln(x-2) x--2+ here we can direct apply limit  ln(2-2) = ln0 =  INFINITY

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.