61. an = nsin RIS n

Q: lim ("V52"-1 52n-1

A: F

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: 6]. sequence to show that, lim Use the definition of limit of a (2n²-3 7n²+8 2/7

A: Definition of limit if a sequence  limit of a sequence is the value the sequence approaches as the…

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: Evaluate the limit [(1/(b+1))-(1/6)]/(b-5)  Limit b->5

A: To evaluate

Q: 57. Yn = en 27

A:

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

A:

Q: Determine the limit of the sequence a, u UIS 3 Ve Divergent 4 1 5

A:

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

A:

Q: What are the correct steps for evaluating any one-sided infinite limit?

A: To find the limit of a function at infinity and correct steps for one sided limit of a function at…

Q: Exercise 4. Use the definition of limit to prove that the sequence {n – - is divergent. -

A: To prove: the sequence n-1nn=1∞ is divergent. limn→∞n-1n=limn→∞n-limn→∞1n…

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: lim ("V52"-1

A: Given: limn→∞52n-12n   We know that the radical rule; amn=amn

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

A:

Q: Finel Sequence s+ aj sove both limits .

A: Take a sequence, aj=-j2j is rational0j is irrational Then the limit for j rational is,…

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,…