[‰ß‹ŽÛ¸Þ] ƒˆE‰ž—p”Šw (1002Ú½)
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861(2): Œ»‘㔊w‚ÌŒn•ˆ ŽG’k ŸyH25M02vWFhP 2020/06/17(…)18:43 ID:m/mlsVi6(4/5) AAS
>>860
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ŠO•”ØÝ¸:en.wikipedia.org¸ition_of_limit
(ƒÃ, ƒÂ)-def¸ition of limit
Cont¸uity
A function f is said to be cont¸uous at c if it is both def¸ed at c and its value at c equals the limit of f as x approaches c:
@lim _{x ¨ c}f(x)=f(c)
The (ƒÃ ,ƒÂ ) def¸ition for a cont¸uous function can be obta¸ed from the def¸ition of a limit by replac¸g
0<|x-c|<ƒÂ with |x-c|<ƒÂ to ensure that f is def¸ed at c and equals the limit.
È20
862(1): Œ»‘㔊w‚ÌŒn•ˆ ŽG’k ŸyH25M02vWFhP 2020/06/17(…)18:43 ID:m/mlsVi6(5/5) AAS
>>861
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ŠO•”ØÝ¸:en.wikipedia.org
Limit (mathematics)
The concept of a limit of a sequence is further generalized to the concept of a limit of a topological net, and is closely related to limit and direct limit in category theory.
See also
ELimit in category theory
@EDirect limit
@EInverse limit
È2
865: 2020/06/17(…)19:35 ID:nNTE5mSe(5/6) AAS
>>860-861
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