As , which term ultimately controls the value of…

MATHEMATICS · Single correct · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

x\to\infty

, which term ultimately controls the value of

x^{2}+e^{-x}

? (a) Both terms contribute equally (b) The entire expression approaches

0

(c)

x^{2}

because it grows without bound (d)

e^{-x}

because exponential functions eventually dominate polynomials