(1) Limit of a sequence is unique if it exists. (2) If limn→∞an = L, then limno 2n+1 = L . (3) A sequence an converges to 0 if and only if the sequence of absolute values an converges to 0.

Q: Evaluate if x=4,8,3,-2 ∑x ∑x+1 ∑(x+1) 3∑x - 4

A: Given that  if x=4,8,3,-2

Q: Write the converse of the following statement: If it rains today, then I will stay at home.

A: Suppose the statement is "If a then b" then converse of this statement is "If b then a".

Q: Suppose the variable x represents students, the variable y represents courses, and T(x, y) means "x…

A: Pls, refer the below explanation:Explanation:Let's understand it as below:

Q: Suppose the variable x represents students, the variable y represents courses, and T(x, y) means "x…

A: There exists a course for all students, but no student is taking that course. Explanation: Here, the…

Q: n? O Show that ¬-2n= 0(n²). Show your work and give specific

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Q: Let x = -4 and y = 2. Evaluate each expression. |-5 y+x|

A: To solve, |-5 y+x|

Q: A general statement is needed

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Q: (2x + 3) csc²() dx + f 4 tan () dx = 2(2x + 3) cot (#) f(2x + 3) sec² () dx - 4 tan ) dx = 2(2x + 3)…

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Q: d. A square is a trapezoid (Select ] e. Arhombus is a rectangle i Select )

A: We use properties of square, trapezoid, rectangle, and rhombus

Q: Identify the contradiction.  If I sing a song today, then I will sing a song today.  I will sing a…

A: First, let's understand the statements given. There are four statements:If I sing a song today, then…

Q: Write each of the following expressions as a" , where aE R, nE Z: 9°.3. 27

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Q: Vavy(x * y 2 a + y)

A:

Q: a represent the number of adults. express the number of children, c, in terms of the number of…

A: Given that a represent the number of adults and there were 1792 visitors to the arts center spring…

Q: Formulate 2 examples of compound statements under each given type

A: A compound statement is a statement that has parts that are themselves statements. Formulate 2…

Q: The table shows the movement of a stock for 30 randomly selected trading days. "Up" means the stock…

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Q: State the inverse of the statement, “If there Linah has no ticket then she can leave class.”

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Q: Classify the given statement as true or false

A: Statement: Rain is wet or snow is cold. The statement is false.

Q: C(3,-2)=0 True O False

A: We have to find the correct choice.

Q: The sum of two numbers is 22 and their product is -48. Let x = one of the numbers. Identify all the…

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Q: Determine the nullity of 3 A = -2 1 -2 4

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Q: hich property justifies this statement? X-4=X-4

A: The given statement is : X-4=X-4

Q: If a and b are positive numbers, then Va + b² # a + b.

A: Solution: Consider the given numbers a and b are positive numbers and we need to prove that a2 + b2…