Using L'Hôpital's rule one can verify that In x lim x-+x x XT == 0, lim x+x ln x = lim x ln x = 0 x―0+ for any positive real number r. (a) Use these results, as necessary, to find the limits of f(x) = x² ln(3x) as x +∞ and as x → 0+. lim x2ln(3x) = x-+00 lim x² In(3x) = x➡0+ (b) Graph f(x) = x² ln(3x) and identify the relative extremum and inflection point. f(x) has a relative Choose one▾ at the point (,) f(x) has inflection point (, )

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