9. Find the limit (if it exists) of the sequence (x_n) where x_n= n-3n^2.

Q: -n +1 lim -n2 +n +2

A: Given to find limn→∞-n2+1-n2+n+2n

Q: For the sequence { 4^(-n) } a) determine whether or not is convergent b) if it is convergent,…

A: The nth term of the given sequence is given by bn=4-n. If limn→∞bn exists, the sequence bn is…

Q: (n²)(1 - cos(뉴)). 1.5 COS An

A:

Q: Whst is the exact value of the limit of the sequence (7^(n+1)-7)/7^n?

A:

Q: Find the limit of the sequence when the nth term is given.  a sub n = 3^n+2/5n

A: The solution are next step

Q: 2. If a 1 and an+1 for each n> 1. Use the mathematical induction to show the sequence (an) is…

A:

Q: Let (a_n) be the sequence defined by the recursive relation a_n=a_(n−1)+5n+1, with initial term…

A:

Q: What is the exact value of the limit of the sequence -n^3/(n^4+1)?

A: To determine the value of the limit.

Q: 4n2 Determine if the sequence {an}I with an= converges. If it converges write its limite if it…

A: Given Data The sequence formula an is:     The expression for the limit of sequence an is,

Q: Evaluate the sum from k=0 to 4 of ((-1)^k(k+3)^2+3)

A:

Q: Find the third term of the sequence  {2n^2/3^n-1}from n=1 to ∞

A:

Q: A sequence can be generated by using a_(n)=a_((n-1))+4. If a_(1)=2, what is the value of a_(20).

A:

Q: The sequence fn is given asf1=1 ,f2=3 ,fn+2=fn+fn+1 for n>_ 1. How many even terms are between the…

A: Calculate first few terms of the sequence, by substituting, n=1,2,3,... in the equation,…

Q: For each infinite sequence, find the limit, or determine that the sequence diverges.…

A: Divide the numerator and denominator by k

Q: Find the solution of the following second order differential equation d?y(x) dy x2. +x +x? y(x) = 0…

A:

Q: Show sequence (-1)^n has uncountably many subsequences

A: The given sequence -1n. We have to prove that the sequence has uncountably many subsequences.