Why does: n/(n+k) have a maximum value of 1 for k = 0, and for no other values of k?
Now if n were fixed, like my friend runnig gag says, with k being a variable. this function has no limit as to how high it will go.
When the denominator (n+k) aproaches zero, The function grows without bound and therefore has no maximum height.
Is n fixed or not? Because this would change things a bit.
in reply to the first post, how is k=0 the maximum value the expression is decreasing for 1/n+k and n/n+k like you said?
and with the rectangular hyperbole, so that would imply no maximum value? i.e. it is minus infinity? but we assuming k is = to or > 0 so we take 0?