Let x → 0, etanx ex and xn be infinitesimals of the same order, then n is () A. 1B. 2C. 3D. 4

Let x → 0, etanx ex and xn be infinitesimals of the same order, then n is () A. 1B. 2C. 3D. 4

∵ TaNx = x + 13x3 + O (x3) & nbsp; etanx-x-1 ~ tanx-x ∵ etanx − ex = ex (etanx − x − 1) = 13x3 + O (x3) ∵ etanx ex and X3 are non equivalent infinitesimals of the same order ∵ n = 3, so C