Question: ln(x)/(1 + x) for positive x. Do not solve for the maximum, just show that there must be one. Sketch graphs of the following functions.

ln(x)/(1 + x) for positive x. Do not solve for the maximum, just show that there must be one.
Sketch graphs of the following functions. Find all critical points, and state whether they are minima or maxima. Find the limit of the function as x → ∞.

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