Our aim is to show that lim cos i does not exist. To do so, we will use the Divergence criteria. Which among the following is the best choice to choose as our sequence? a. b. c. None of these с. d. the limit exists and it is 0. а. b. C d.

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A: Use limit expansion

Q: (3) Using the appropriate approach covered in Unit 6 of this Course along with knowledge gained in…

A: Solution:

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Q: (3) Using the appropriate approach covered in Unit 6 of this Course along with knowledge gained in…

A:

Q: (3) Using the appropriate approach covered in Unit 6 of this Course along with knowledge gained in…

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A: limn→∞∑i=1n6i x 2n2First we find sumation∴∑i=1n12in212n2∑i=1ni…

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Q: Suppose that a, > 0 and converges. lim na, = 0. Prove that Ea, n 00

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Q: If a converges to a(z) then lim / a (2)dz= / a(z)dz n- 00 Y

A: True

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Q: Let x1 = 1 and define xk+1 = sqrt(2xk) where k is a natural number. Prove that the sequence {xk} for…

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Q: Find the limit of the following: lim In(cos(x)) x→2•n The limit is

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Q: (3) Using the appropriate approach covered in Unit 6 of this Course along with knowledge gained in…

A: Just take out the highest power of n from numerator and denominator.

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A: Limit of the indeterminate from

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Q: Let {xn} and {yn} be sequences such that lim yn = 0. Suppose that for all k ∈ ℕ an for all m ≥ k we…

A: Let {xn} and {yn} be sequences such that lim yn = 0. Suppose that for all k ∈ N and for all m ≥ k we…

Q: Estimate the given limit numerically, if it exists lim, 1* (E) O does not exist O 4

A: Explanation of the answer is as follows

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Q: Use series to evaluate the limits

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A: See the details solution in below

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Q: Give the exact value of the limit (an)0il Or it diverg an= ln(3+2n+20sn?) -enlli2",204 n²)

A: Solve the following

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A: Given query is to apply ratio test.