• f(0) = 1 ● lim f(x) = lim_ƒ(x) = 0 x →∞ x118 • The values of f'(x) and ƒ"(x) are as follows: f'(x) < 0 f'(x) > 0 x < -1 or x > 2 −1 < x < 2 ƒ" (x) < 0 | x < −2 or 0 < x < 4 ƒ" (x) > 0 −2 < x < 0 or x > 4 (a) Identify any horizontal asymptotes. (b) On what interval(s) is f(x) increasing?

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A: is differentiable. Therefore, we have, RHD=LHD=f(x) Now,