Furthermore, neither the left nor the right derivatives are finite at 0, i . e . this is an essential discontinuity.
2.
Stevens stresses the essential discontinuity between them and emphasizes their differences by " demonstrating the vain struggle of the imagination'to grasp what it beholds in a single version of it . " This interpretation is remarkable because in the same collection of poems, " Ideas of Order ", Stevens " interrogates this ordering imagination with skepticism " yet celebrates it in " The Idea of Order at Key West ".
3.
In this case, one or both of the limits \ scriptstyle L ^ {-} and \ scriptstyle L ^ { + } does not exist or is infinite so " x " 0 is an " essential discontinuity ", " infinite discontinuity ", or " discontinuity of the second kind " . ( This is distinct from the term " essential singularity " which is often used when studying functions of complex variables .)
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