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as x tends to infinity the function is undefined as far as i know

use l'hopital rule

|dw:1350219305254:dw|

graph is this and its correct

|dw:1350219633729:dw|

range of the grph is (-infinity , -2] union [2,infinity)

you are finding the minimum and maximum points of this graph. as x tends to inifinity the function tends to infinity .and AS X tends to 0 the function is undefined(see the attached graph)