Let represent the greatest integer function

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

Problem

Let [ ⋅ ][\,\cdot\,] represent the greatest integer function. The value of lim⁡x→0[nsin⁡xx]+[ntan⁡xx]\lim_{x\to0}\left[\frac{n\sin x}{x}\right]+\left[\frac{n\tan x}{x}\right] is: (1) n+1n+1 (2) 2n2n (3) n−1n-1 (4) 2n−12n-1

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