Statements (51)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:book_series
sequences filters functions nets |
| gptkbp:field |
calculus
mathematical analysis |
| gptkbp:formalized_by |
epsilon-delta definition
|
| gptkbp:generalizes |
gptkb:category_theory
topological limit |
| gptkbp:hasProperty |
can be infinite
basis for calculus basis for continuity basis for convergence basis for differentiability basis for integrability basis for metric spaces basis for real analysis basis for topology can be approached from left can be approached from right can be at a point can be at infinity can be finite can be one-sided can be two-sided may not exist uniqueness (if exists) |
| https://www.w3.org/2000/01/rdf-schema#label |
limits (mathematics)
|
| gptkbp:introduced |
gptkb:Augustin-Louis_Cauchy
gptkb:Karl_Weierstrass |
| gptkbp:notation |
→
lim |
| gptkbp:relatedConcept |
gptkb:integral
continuity derivative epsilon-delta definition asymptote infinite limit limit inferior limit superior one-sided limit |
| gptkbp:usedFor |
defining continuity
defining derivatives defining integrals defining sequences convergence defining series convergence |
| gptkbp:bfsParent |
gptkb:Zeno's_Paradoxes
gptkb:Zeno's_paradoxes |
| gptkbp:bfsLayer |
6
|