limit, undefined

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Life's interpretation may metamorphosise into an infinite mélange of (rather bizarre) shapes and packages. 

Let us, then, model life as some sort of a mathematical expression -- what economists do best. 

Specifically, for simplification, we'll only preserve the two variables of interest : time, presented on the x-axis in years; and the independent variable, denoted by an uncharacteristically-bizarrely intentionally open-ended label of achievement. Fill in for this "placeholder" variable whatever you please : currency symbols (wealth), number of social media followers (fame), gold medals, GPA points, the attractiveness of your car, etc.

Two cases are presented : (1) the general type and (2) the undefined type, quite literally.

type1
type2