End of Post-Assessment. Additional Activities Activity 5: Read and answer each item carefully. Show your answers on your answer sheet. 1. Use table of values to find a recognizable limit of the function f(x) sec2 (-) as x approaches positive infinity. Use at least 5 (five) values of x. 2. Using the squeeze theorem, prove that if lim|f (x)| = 0, then lim f(x) = 0. %3D x-a エ→a

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

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Q: Q2) find the value of each limit sint 1) lim(- 1+cost +tcost C+cost x+xcosx 2) lim 0 sinxcosx

A: The limits of given functions are given as follows :

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

A: As given Function  fx=-x+6if x≤05x+5if x>0 Thus limx→0-fx=limx→0--x+6             =6

Q: Complete the table and use the result to estimate the limit. Use a graphing utility to graph the…

A: Given that limx→0 x+4-2x. Substitute the given tables values and fill out the function value as…

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Q: Evaluate the limits. If any of them tend towards -00 or +∞, enter "oo" (two lower case "o" letters)…

A: We can find the limit as below

Q: - Find the error in the following incorrect calculation. Then calculate the limit correctly. e- 낼…

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A: In the given question we have to tell such function which satisfies the given three property and and…

Q: Use l’Hospital’s rule where applicable to find the limit.

A: Our Aim is to find the limit of the expression given below using L' Hospital's Rule:-limx→3…

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Q: Evaluate the limit, using L’Hôpital’s Rule if necessary

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Q: -y 2- -6 -2 -2- Given the graph of f (z) above, find the following limits. To enter 00, type ifinity…

A: Given  The graph f(x) has vertical asymptote at x=4  and horizontal asymptote at  y=0 .

Q: Determine the following limits. You are not required to use the definition, but you must justify…

A: Given: limn→∞1+115n3n, limn→∞n2+3n12+nn2n+sinn. To be find: evaluate the given limits. Concept: some…

Q: (2 pts) 7. What value ofk will make lim f(x) exist? What is the limit? VI+5. ifx 3

A: given: f(x)=x+53,      if x<3kx2-4x,    if x>3 limx→3f(x) exists.

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A: Graph of function is given then find limits a limx→-3fx=?b limx→-2fx=?c limx→5fx=?

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Q: lim X-+00 9 eX/5 = 0

A: This question is based on application of Limits.

Q: What happens if you try to use l’Hospital’s Rule tofind the limit? Evaluate the limit using another…

A: We have to evaluate limit limx→∞xx2+1 Here, we can see that if we put limit then it is ∞∞ form. So,…

Q: 1e. Use L'Hospital Rule to find the limit: lim(1 + 4x)3/x x->0 NO HAND WRITTEN ANSWERS…

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Q: Use a table of values to estimate the value of the limit. V x + 25 5 lim

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Q: 3) Find the following limits. You must show your work. 2-x b. limcot x a. lim (x-1)

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Q: Refer to the graph of y = f(x) to the right to describe the behavior of lim f(x). x-1 Use - 0o and…

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Q: f(x>

A: Finding the limit from graph .

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Q: Question: How else might you define "the limit as x approaches a of the function f (x) is L"? 3.

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Q: (2r+3, ifx 0

A: limit of function exist if left hand limit =right hand limit Consider left hand limit…

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A: we have to evaluate: limx→-53x2-75x+5

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Q: J, 4. lim X-3 x2 - 9 x - 3 lim X3 x2 – 2x – 3 5. X - 3 lim X"i x2 – 2x – 3 6.

A: We need to find limit.

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Q: What happens if you try to use l’Hospital’s Rule tofind the limit? Evaluate the limit using another…

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

A: The solution is as follows below:

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Q: Q2/ Answer two only from the following. (a) Find the limit (if exist): lim(2t-2)² dt 2x-1

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Q: Use the graph to estimate the specified limit. lim f(x) and x-(n/2) 25) Find lim f(x) x-(n/2)* 2n

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Q: Use the graph of the functionf shown to estimate the indicated quantities to the nearest integer.…

A: Meaning of x→a+ : x approaching to a from the right hand side of the a .We can say x→a and x>a .…

Q: Calculate the limits given below, if not, explain why. y? a), lim (x,y)-(00) x²+y² b) lim (x)-(1,1)…

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Q: V9 + h – 3 lim h→0 h

A: We have to find the limit:  limh→0 9+h-3h

Q: Consider your answers from the previous problem for the piecewise function x > -4 f(x) = X+4…

A: Check the function limit is exist or not and check the function continuity

Q: By considering different paths of approach, show that the function below has no limit as…

A: In this question we have to find the limit.

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.