Graph the function f(x) = x*e^( − 5/x − 2/x^2)

Pay attention to the following (show your work!):

• asymptotic behaviour at ±∞ and behaviour at 0.

• compute the derivative and find the critical points, including limx→0 f ‘(x).

• compute points of inflection and the sign of f 00 on each interval.

 

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