Find the limit if the sequence converges and lim sup and lim inf if the sequences diverges (c and d)

Q: 6. Does the sequence converge or diverge? If it converges, then find the limit. an- nª-3e" 2e" + nª

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Q: Consider the sequence a. Write out the first five terms of the sequence. a1 = a2 = a3 = a4= a5 = 9.…

A: here we have to check whether the sequence is convergent or not.

Q: 19. an = IN 2 τη

A: The sequence is given as an=12-n

Q: If a sequence an is strictly increasing and not bounded above, then the limit of sequence does not…

A: To state whether true or false.

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit.…

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Q: Let {an} be a monotonic sequence of real numbers. If = a, and an+1 = a + which of the following is…

A: In the given question we have to find the limit of the sequence where is defined as…

Q: (-1)" . 2n 4 – 5n (-1)" · 2

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Q: Find the set A on which the sequence {fn} converges pointwise. Find the limit function. Choose two…

A: According to the given problem we have to do only two parts of our choice So we select Ist and third

Q: 1 Let xn=G, 2+-), nEN be a sequence in R?, then lim x, .A (0,2) .B [0,2] .C (2,3) .D (0,2]

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Q: Use the Squeeze Theorem to find the limit of the sequence. sin() 4n sin

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Q: lim 3n+2 2n + 1 = 3/2

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Q: Find the limit of the sequence {an}, or show that it diverges: An 2n +1 In

A: Topic - limits

Q: 1 3 Consider the sequence {an} where a1 = 2 and an+1 = an + 2 Show that the sequence is monotonic.…

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Q: Let {an} be a sequence of real numbers. Prove: The sequence {an} diverges to -oo if and only if lim…

A: Solution: let us consider the sequence {an} of real numbers. We say {an} diverges to -∞ if and only…