In the function is continuous at each point of its domain

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

In the function f(x)=2x−sin⁡−1x2x+tan⁡−1x,(x≠0)f(x) = \frac{2x - \sin^{-1} x}{2x + \tan^{-1} x}, (x \neq 0) is continuous at each point of its domain, then the value of f(0)f(0) is (a) 2 (b) 1/31/3 (c) 2/32/3 (d) −1/3-1/3

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