Question

Determine if the sequence is increasing, decreasing, or not monotonic. Is the sequence bounded?
\[a_n=\frac{2n-3}{3n+4}\]

Answer 1

looks like monotonic decreasing since we have 2n up top and 3n in the denom

Answer 2

let's just say that I don't understand the meaning of a bounded sequence

Answer 3

except for the fact that it's not monotonic for n=0 to n=2

Answer 4

the bound of the sequence is just the limiting value as \(n\to\infty\)

Answer 5

the limiting value is the value at which n-> infinity?

Answer 6

yes

Answer 7

so we are looking for this"limiting" value by checking to see if it's increasing or decreasing?