In 1917, L. L. Thurstone, a pioneer in quantitative learning theory, proposed the rational function

to model the number of successful acts per unit time that a person could accomplish after x practice sessions. Suppose that for a particular person enrolled in a typing class,

where f(x) is the number of words per minute the person is able to type after x weeks of lessons.
(A) What does f(x) approach as x increases?
(B) Sketch a graph of function f, including any vertical or horizontal asymptotes.

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