The polynomial of least degree such that is

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

Problem

The polynomial of least degree such that lim⁡x→0(1+x2+f(x)x2)1/x=e2\lim_{x\to0}\left(1+\frac{x^2+f(x)}{x^2}\right)^{1/x}=e^2 is (1) x2x^2 (2) x3+2x2x^3+2x^2 (3) −x2+2x3-x^2+2x^3 (4) None of these

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