Write out the first five terms of the sequence. Find if the sequence converges or diverges (hint: use the divergence test and L' Hospital's rule). If it converges, find the limit:  Note: there is a typo on this question. The variable is n. However the -5 has the variable 'x'. It should be an n like everything else.

Q: 1. Given the sequence defined by 1 3- An а1 — 1, ап+1 - - Explain why the sequence converges. Then…

A: We have to explain the given sequence a1=1, an+1=3-1an converges. Also, find the limit of the…

Q: х — 1 is 5 - The range of f(x) = O (-∞, –5) U (-5, ∞) O (-∞, 5) U (5, ∞0) O (-∞, ∞0) O (-∞, 1) U (1,…

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. a, = 4 +…

A: Given sequence is  an = 4 + (0.8)^n

Q: 3. {V21+3n

A: Recall: A Sequence is said to be convergent if it approaches some limit.i.e, A sequence <an>…

Q: (1 point) Use linear approximation to approximate 64.1 as follows. Let f(x) = /x. The equation of…

A:

Q: Find the limit of the fallowing sequence if it exists 92 = 12-2, an =/2-/2+12+2+..+2 ' n eN

A: Explained below

Q: Write the first five terms of the sequence, give the exact answer: +oo n n + 19 n=1 Determine…

A:

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

A:

Q: an = (1 + 2,60) ² = n

A: We want to know whether the given sequence is convergent or not

Q: Sequences: P5 Let {x,}→ a and {y,} →b and c be a real number. Then the following are true: -> a. The…

A:

Q: Determine if the sequence {a} converges or diverges. Find the limit if the sequence converges. an =…

A:

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: We have a theorem which states that Given the sequence {an}, if we have a function f(x) such that…

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. an n 6n

A:

Q: he graph and then prove your guess. (If the sequence diverg 1.3.5.... . (2n-1) n

A:

Q: Determine if the sequence {a} converges or diverges. Find the limit if the sequence converge (-1)^+1…

A: Given an = (-1)n+15n-9