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

Q: Find the limit of the following sequence or determine that the sequence diverges. {(₁+1)} Select the…

A: Here given sequence is {(1+1/n)5n}. We find limit of given sequence

Q: 3n²+ 2n 32 (a) n² - 11 (b) (7) Hint: 4" = (2¹)²

A:

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: 57. Yn = en 27

A:

Q: Prove the limit Statement lim (5x-8x-4) = 12

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Q: an = (-1)" 2√n

A: As we know ⇒-an≤an≤anThen limn→∞-an=-limn→∞an=0We have limn→∞-an=-limn→∞an=0 then by  squeeze…

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: Evaluate the limit using the Basic Limit Laws

A: To evaluate limx → 12 (4x + 1)(6x - 1).

Q: Question 2 Use the Squeeze Theorem to find the limit of the sequence n!

A: To find the limit of sequence using squeeze theorem

Q: 19. an = IN 2 τη

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

Q: 1+n Prove using the definition of the limit that limn→∞ 1-2n 2

A:

Q: Determine whether the seguence Conver geo Divenyes, Converges, Find the limit, Ab= 1-1b+3 Yb+1 + b-1…

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Q: Find the Limit of seqvence d Sz, Sz5z, J2552 ---

A: The sequence is 2, 22,222,…. That is, the terms of the sequence can be written as,…