Limit

GPTKB entity

Statements (30)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo Series
Functions
Sequences
gptkbp:category gptkb:mathematical_concept
gptkb:Calculus
gptkb:Mathematical_analysis
gptkbp:defines The value that a function or sequence approaches as the input or index approaches some value
gptkbp:describes Behavior of a function as input approaches a value
gptkbp:example lim_{n→∞} 1/n = 0
lim_{x→0} sin(x)/x = 1
lim_{x→∞} 1/x = 0
gptkbp:field gptkb:Mathematics
gptkbp:formedBy Epsilon-delta definition
https://www.w3.org/2000/01/rdf-schema#label Limit
gptkbp:importantFor Defining continuity
Defining derivatives
Defining integrals
gptkbp:introduced gptkb:Augustin-Louis_Cauchy
gptkbp:notation lim
gptkbp:relatedTo gptkb:Integral
Continuity
Sequence
Series
Derivative
gptkbp:symbol lim
gptkbp:usedIn gptkb:Calculus
gptkb:Mathematical_analysis
gptkbp:bfsParent gptkb:Frank_Schätzing
gptkbp:bfsLayer 6