Consider the function f (x) = -x² + 7x + 9. Using right endpoints, express the area under the curve of f on the interval [a, b] as a limit of sums. Fill in the blank. lim E (- Ax. nH00 Note: your answer should be the output of the function, not the function name. Your answer should be in terms of a, b, i, and n.

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) lim (x3 −…

A: Given,

Q: Use limit notation to describe the unbounded behavior of the given function as x approaches o. v(x)…

A: Limits

Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.) lim x→5   5 + X/X

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) x2 - 3x + 2 lim x- 1 X - 1

A: Here we have to find limit of given question.

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 2 - |x| lim x-2 2 + x

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) ** 14) x + 14 lim X 14 X -

A: Given that, limx→14x+14x-14 We have to find the solution of the question.

Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.) lim x→1 (4x − 10)

A: It is given that, limx→14x-10.

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y)→ (0, 0) x² + y8

A: Given: limx,y→0,0xy4x2+y8 To find the limit if it exists or to determine exists or not. Limits in…

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

A: The derivative of the function using the limits is obtained by the formula f'(x)=limh→0f(x+h)-f(x)h,…

Q: Complete the table and use the result to find the indicated limit. x3-6x +8 If f(x) find lim f(x).…

A: GIven , f(x)=x3-6x+8x-2we have to find limx→0f(x)and complete the table by using the result to find…

Q: Find the limit if it exists. (If an answer does not exist, enter DNE.) x² lim (x, y) → (0, 0) (x² +…

A:

Q: Use the graph of the function f to find the limits at the indicated value of a, if the limits exist.…

A: The graph of the function fx is given by To evaluate : The values of limx→a-fx, limx→a+fx and…

Q: b) At what points c, if any, does lim f(x) exist? c) At what points does only the left-hand limit…

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 3 lim t→0 - t2 + t

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 2 - x lim x-2 Vx + 2 – 2

A: Given limit is: limx→22-xx+2-2 To evaluate the limit.

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 6 - Vx lim x→36 36x – x

A: To find:limx→ 366-x36x-x2

Q: Use the graph of the function f to find the limits at the indicated value of a, if the limit exists.…

A: The graph of the given function is as shown below : limx→a-fx=limx→0-fx=2∴ limx→a-f(x) = 2

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim ху (x, y) (0, 0) x²+ y8

A:

Q: SEvaluate the limit by rationalizing the numerator. V4+t- V4-t lim t>0 3 (b) lim | t 9+t

A: Given that some limit problem and we solve this problem by using general property of limit.     Here…

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 6 – Vx lim x→36 36x – x-

A:

Q: Find the indicated one-sided limits, if they exist. (If an answer does not exist, enter DNE.) S-x +…

A: Proceed as shown below

Q: A. Fill in the tables and guess the value of the limit. 1. lim f(x), where f(x) = х3 — 1 x2 -1 %3D…

A: Given that        f(x) = (x3 - 1)/(x2 - 1)  Here we have to find            limx-->1 f(x) .

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim X→-2- V x² - 4

A: Given expression is We need to find its limit as x approaches -2-

Q: Find the limits. Are the functions continuous at the point being approached?

A: We will find the limit by substitution

Q: lim V x + 2 – 4 x→14 X – 14

A:

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

A:

Q: Find the indicated one-sided limit, if it exists. (If an answer does not exist, enter DNE.) x + 7…

A:

Q: Use the graph of the function f to find the limits at the indicated value of a, if the limit exists.…

A: from the graph we can see that limx→a-f(x)=limx→0-f(x)=2limx→a+f(x)=limx→0+f(x)=DNESince…

Q: Evaluate the function f(x) at the given numbers (correct to six decimal places) (x)=3ex х2 3 Зx , x…

A: The given function:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 2 - |x| lim x→-2 2 +x

A: Recall: absolute value function

Q: Find the limits as x - 0o and as x - -00. y = f(x) = (3 – x)(1 + x)?(1 – x)4 lim f(x) = lim f(x) = X…

A:

Q: Find the indicated one-sided limits, if they exist. (If an answer does not exist, enter DNE.) if x 0…

A:

Q: Use the graph of the function f to find the limits at the indicated value of a, if the limit exists.…

A:

Q: Find the limit L (if it exists). If it does not exist, explain why. (If an answer does not exist,…

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) ' 4 - lim t-0\t t2 +

A:

Q: A. Fill in the table and guess the value of the limit. 1. lim f(x), where f(x) = %3D f(x) f(x) 1.002…

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 1 1 - lim x 4 4

A: Let's find.

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 1 lim 7 x--7 7+ x 1

A:

Q: Evaluate the limit. (If an answer does not exist, enter DNE.) x1/2 + x – 4 lim x→9 x3/2 – 27

A: The given limit takes the indeterminate form 0/0 on putting the value X= 9. Therefore, we can use L…

Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.)   lim x→c+ f(x)

A:

Q: -5x – 2 < f(x) < x² – 5x – 2 Use this to compute the following limit. lim f(x) Answer: What theorem…

A: Limit of the function, by using squeeze theorem

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim xy4 (x, y) - (0, 0) x² +…

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x2 - 4x + 18, l-x2 + 4x -…

A: Detailed explanation mentioned below

Q: 3x+8< f(x)<x² +5x+9 Use this to compute the following limit. lim f(x) Answer: What theorem did you…

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Q: Evaluate the limit, if it esxists. (If an answer does not exist, enter DNE.). lim x°-4I+3 x>3 X-3

A: Factor the numerator.Factor 3 so that the sum of the factors is -4Factors are -3 and -1Write -4x as…

Q: Use the graph of the function to determine the limit at positive infinity: lim f (x) X00 68. A y 2 3

A: Given query is to find the indicated limit.

Q: Use the graph of the function f to find the limits at the indicated value of a, if the limit exists.…

A: Graph of function is

Q: For f(x) = 2x³ - 2, find ƒ '(x) using the definition f '(x) = lim f(x+h)-f(x) h h→0 f'(x) = Using…

A: Let's find.

Q: Guess the value of the limit (if it exists) by evaluating the function at values close to where the…

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.