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A: F

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Q: Converges (by the Limit Comparison Test)

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A: Limit: A number L is said to be a limit of the sequence an if for ε>0 there exists a number N…

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A: Given: Let's say there are two bounded sequences (an, bn) .a. Demonstrate that limn→∞sup max(an,…

Q: why cant an expert solve this? please help

A: Step 1:To prove this inequality, let's first understand what limsup and liminf mean.limsup (limit…

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Q: 81. Happy Thanksgiving!!

A: We have to deduce that an is convergent and find its limit.

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Q: A.) If {a,} is a convergent sequence, then {a,} is also a convergent sequence. B.) If f(x) is a…

A: This question is related to sequence and series.

Q: 2. Find the limit of the following sequences. a) {314

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Q: (d) (i) Define: sequence of real numbers {x} converges to the limit x = R. 3n+1 7n-4 (ii) Use the…

A: d.1. Definition:          A sequence of real numbers xn is said to be converges to the limit x∈ℝ…

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Q: 3. Explain why the following sequence does not have a limit: a, = (-1)".

A: Solve the following

Q: #6) Deler mine whether converges diverges, Calculatk limit an n+3

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Q: (a) (b) (c) +8 {√n+1 = √n+ 2 } 2 ONG e n=1 In n +00 n=1 n=1

A: First put 5 terms and find value and look at the limit as n is large.

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Q: (5) Let' (1) : r² + 7x + 12. S(z) dr (a) Use a comparison test to show that. A B converges. S(x) (b)…

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Q: Poove that if Ean converges, then lim (ant amtst ...t anpo)= 0

A: We have to use properties of convergence first.

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