Determine whether the sequence converges or diverges. If its converges, find its limit {n3 / (n3 + 4)}

Q: 18(3")+ 18 12(5") lim

A: Given data is : limn→∞183n+18125n Determine is the sequence divergent or convergent. If it…

Q: Which of the sequences whose nth terms appear converge, and which diverge? Find the limit of each…

A: We find the limit of the an th term. limx→∞(an)=limx→∞1+(-1)nn=1+limx→∞(-1)nn=1+0=1

Q: 3. Determine if each sequence converges or diverges. Find the limit of each convergent sequence.…

A: firstly check the limit of sequence at infinity. If limit is finite then sequence is convergent and…

Q: A sequence has its nth term defined as follows: An = tan-(n²) Determine if this sequence converges…

A: Here, an=tan-1(n2)

Q: Determine if the sequence converges or diverges; if it converges, find the limit.

A:

Q: Find the limit of the sequence if it converges; otherwise indicate divergence. an = (-1)" (- %3D

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.