If a sequence C1, C2, C3, ... has limit K then the sequence e, e, e,... has limit e. Use this fact together with l'Hopital's rule to compute the limit of the sequence given by bn = (n) = 2.

Q: If a sequence C₁, C2, C3,... has limit K then the sequence e limit of the sequence given by b₁ = (n)…

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Q: consider the sequence  1, 1/2 ,1, 1/3 ,1 ,1/4, 1,.........  determine the limit superior and limit…

A: Given sequence 1, 1/2 , 1 , 1/3.. The limit superior is 1. As every number of sequence < 1+k for…

Q: ((7) 2c-4 lim.

A: Given: limn→∞1+1nn As we know from the limit rule: If the limit limx→afxgx and its result of the…

Q: Prove that sequence {an}= {(-1)n} does not have a limit.

A: According to the given information it is required to show that {an}= {(-1)n} has no limit.

Q: Show that the converse of Theorem Limit of a Sequence is not true.

A: The theorem of Limit of a Sequence states that, " The function f be a function of a real number…

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

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Q: Consider the sequence  1,1/2,1,1/3,1,1/4,1, ... Determine the limit superior and limit inferior of…

A: Given sequence is  1,12,1,13,1,14,1,....... By observation , it can be seen clearly that 1 repeats…

Q: Find a sequence of real numbers {a;} such that lim a, does not n-00 xist, but it has 3 subsequential…

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Q: 63. bn = 3-4" 2+7.4" n

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Q: Give a sequence of positive numbers which is NOT bounded and has exactly one limit point.

A: A real no.p is said to be a limit point if every neighborhood of p contains an infinite no. Of…