Question

Use the graph of the function f of x equals x plus 1 over x to determine which of the following statements is true for the sequence a sub n equals the sequence n plus 1 over n . (15 points)

A) The sequence is monotonic and bounded.
B) The sequence is bounded but not convergent.
C) The sequence is unbounded but convergent.
D) The sequence is unbounded.

Answer 1

geez, it's a math question -- why all those words?
f(x) = (x+1)/x

f(x) = 1 + 1/x
the sequence is clearly monotonic and convergent (limit = 1)

Hmmm. Maybe you meant
f(x) = x + 1/x
That is clearly unbounded, since x→∞

Next time make it clear what you mean. Words do not do well expressing math, unless you are very careful.

Bottom line:
It's not my job to figure out what you mean. It's your job to say it so clearly you cannot be misunderstood.