EN - 2017 - CÁLCULO - y = lnx / x; y = x / (√(x² + 1); ∫(1/x + 1/2x + ... + 1/2016x)dx; x sen(1/x)

#NavalSchool #Integral_Calculus #Differential_Calculus Analyze the statements below: I – The function y = lnx / x has a minimum value at the point with abscissa . II – The horizontal asymptotes to the graph of y = x / (√(x² + 1)) are y = -1 and y = 1. III – The function f(x) = ∫(1/x + 1/2x + ... + 1/2016x)dx is such that , for any constant of integration. IV – The value of is lim( x = +inf )x sen( 1 / x ) Select the correct option. a) Only statements I, II and III are true. b) Only statements II, III and IV are true. c) Only statements II and IV are true. d) Only statements III and IV are true. e) Only statements I, II, and IV are true.