Determine whether the sequence converges or diverges n! an (п + 2)! [ Select ] <>

Q: Show that the sequence defined by  a sub 1= 1  and  a sub n + 1 = 3 - (1/ a sub n) is increasing and…

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Q: What is an example of a sequence that converges to 5?

A: A sequence is convergent to a point "P" , if there is a point "P" which repeats infinitely many…

Q: Find the limit of the sequence. {v5, y5v5, V 5V5V5...}

A: Given sequence  5, 55, 555, …. We have to find its limit.

Q: This is a sequence, which test should I use and is it convergent/divergent? Explain. {(-1)n (n+1),…

A: This is a sequence which test should I use and is it convergent/Divergent? {(-1)n(n+1)!/3n!}…

Q: Let {an} be a real number sequence. Prove that                             {an}= {1+(1/2n)}…

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Q: Does this mean the sequence is always convergent?

A: We can take limit of the sequence.  limn→∞an=limn→∞-1n-1nn+n

Q: Decide whether or not the infinite sequence is a cauchy sequence. If it is not a cauchy sequence,…

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Q: Determine the convergence or divergence of the sequence whose nth term is An=sqrt(n+2)-sqrt(n). If…

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Q: Let {a,} be an infinite sequence with the property that 0 < a, < for all n 2 1. Calculate lim,-00…

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Q: Is the sequence a, convergent or divergent? Exp n+1

A: The given sequence is

Q: Bonus. Suppose that {a,}n is a convergent sequence and that {b„}n is a divergent sequence. Can the…

A: {an+bn} can't be convergent.

Q: In 3n an = In 5n

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Q: Consider the sequence defined by a_n= (4n + (-1)^n2 - 2)/8 for every integer n > 0. Find an…

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: Thanks for the question :)And your upvote will be really appreciable ;)