lim an, if you know that the sequence (an) satisfies the equation an+1 Van, and an > 0 for all n indexes.

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit.…

A: Answer is infinity

Q: lim 1-26 2 (2 + 3n-4n²) (1-2n + 3n²)

A:

Q: find lim (-5) h-->0 does not exist O -5 O none of these answers

A:

Q: Determine whether the sequence {a,} converges or diverges. an = (-1)"_n + 3 4n + 1 converges O…

A:

Q: (6) Let {an} be the sequence defined by an+1 = √6an 2, a₁ = 1. Show that {an} is converger and find…

A:

Q: If the sequence {a}, is convergent, then the sequence {x} defined by a₁+as+as++an-stan is also…

A:

Q: If {a} be a sequence such that lim an +1 an = 1, where | 1|< 1, then lim an = 0.

A:

Q: D limo lim th3 2. te

A:

Q: 3. Let an be the sequence defined by a1 = 1 and an for - ... n > 1. (a) Calculate the first four…

A:

Q: If a sequence an is strictly increasing and not bounded above, then the limit of sequence does not…

A: To state whether true or false.

Q: |x lim х-5 х-

A: We will find the limit.

Q: Let {an} be a monotonic sequence of real numbers. If = a, and an+1 = a + which of the following is…

A: In the given question we have to find the limit of the sequence where is defined as…

Q: Find the limit as n -> infinity of ln((9n-7)/(6n+4))?

A:

Q: 2n + 3 Which of the following is true about the sequence (a,) where a, = 5n + 4 (a) lim a, = +oo (b)…

A: Given that; an=2n+35n+4

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

A:

Q: for each positive number X Evaluate lim |

A: To evaluate the below limit for all the positive values of x. limn→∞1xn−x−n

Q: Give the definition of a subsequence of a sequence Xn.

A: the definition of a subsequence of a sequence Xn.

Q: 1 3 Consider the sequence {an} where a1 = 2 and an+1 = an + 2 Show that the sequence is monotonic.…

A:

Q: If lim an # 0, then the sequence {a,} is divergent. n+0 O True False

A:

Q: F lim x+3 - 2 X-5 3. 3

A: Using L'hospital rule.

Q: Show that any sequence of positive real numbers either has a subsequence that converges, or else a…

A: We have to show that any sequence of positive real numbers either has a subsequence that converges,…

Q: •oodwi For any real sequence, lim Xn Yn = Tim (x₂) tim(yn)

A: