Asked by Jacob

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.

Answers

Answered by oobleck
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.
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