Find the limit of the following expression: \lim _{x \rightarrow \infty} 2 e^{-2 x}\left(x^{4}+\ln x^{100}\right) a) O because the logarithmic function decreases the fastest. b) 2 since it is the

leading coefficient. c) O because the exponential of -2x overtakes the other functions and decays the fastestto zero. d) -00 because the exponential becomes very small as x → 00 O e) df= (3x + 1)(32) f) None of the solutions cited here. g)200 since the In (x100) =100 In(x) which multiplies the leading coefficient 2to gives us 200.

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