As (x ) approaches ( /2^ - )

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

As xx approaches π/2−\pi/2^{-}, what happens to ddx(tan⁡x)\dfrac{d}{dx}(\tan x)? (a) It does not exist (the limit is undefined). (b) It decreases without bound and approaches −∞-\infty. (c) It increases without bound and approaches +∞+\infty.},{ (d) It approaches 00.

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