I was reading a discussion on $\epsilon-\delta$ definition of limits, continuity and derivatives, and there someone wrote this line $$ f(x_0 +v) = f(x_0) + J(v)+ r(v), ~~ r(v)= \omega (v)$$

I’m looking for source of the above equation, and someone told me it is related to Weierstraß’s formulation of derivatives. Can someone recommend me a proper guide (in English) for Weierstraß’s theory of tangents and secants.



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