Difference between revisions of "Relationship between q-derivative and derivative"

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Revision as of 21:41, 4 May 2015

Theorem: The following formula holds: $$\displaystyle\lim_{q \rightarrow 1} D_q f(x) = f'(x),$$ where $D_q$ denotes the $q$-derivative and $f'(x)$ denotes the derivative of $f$.

Proof: