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Keywords: Tangency Example 4.svg A diagram showing a curve C red with a cusp at P black and several lines passing through P L<sub>1</sub>-L<sub>4</sub> None of these lines are tangests to the curve not even L<sub>1</sub> The gradient just to the left of the cusp is infinity and just to the right it is negative infinity Self-made Inkscape 2007-10-23 Inductiveload differential calculus curve singularity |