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12. True-False Determine whether the statement is true or false. Explain your answer. The slope of the tangent line to the graph of y = In x at x = a approaches infinity as a -> Of. If limx- +* f'(x) =0, then the graph of y = f(x) has a horizontal asymptote. The derivative of In (x | is an odd function. We have ((In.x)?) dx (2(In x)) = dx18. True-False Determine whether the statement is true or false. Explain your answer. If a function y = f(x) satisfies dy/dx = y, then y = ex. If y = f(x) is a function such that dy/dx is a rational func- tion, then f(x) is also a rational function. dx (log, |x 1) = x In b We can conclude from the derivatives of sin x and cos Ix that sin x + cos x is constant.21. True-False Determine whether the statement is true or false. Explain your answer. In x L'Hopital's rule does not apply to lim X p(x) For any polynomial p(x), lim = 0. (In x )" If n is chosen sufficiently large, then lim = +00. X lim (sinx)/* = 024. True-False Determine whether the statement is true or false. Explain your answer. In x L'Hopital's rule does not apply to lim *+ -60 X p(x) For any polynomial p(x), lim = 0. x- to ex (In x)" If n is chosen sufficiently large, then lim = too. lim (sin.x) 1/* = 0