Upgrade to Pro
— share decks privately, control downloads, hide ads and more …
Speaker Deck
Features
Speaker Deck
PRO
Sign in
Sign up for free
Search
Search
continuity
Search
Sponsored
·
Your Podcast. Everywhere. Effortlessly.
Share. Educate. Inspire. Entertain. You do you. We'll handle the rest.
→
poyo
May 27, 2017
Education
0
180
continuity
poyo
May 27, 2017
Tweet
Share
More Decks by poyo
See All by poyo
Extended Euclidean algorithm
poyo
0
200
Chinese Remainder Theorem
poyo
0
140
CoordinateTransformation
poyo
0
150
n^k/a^n
poyo
0
200
ABC 041 D 徒競走
poyo
0
410
ARC 050 B 花束
poyo
0
670
Other Decks in Education
See All in Education
Padlet opetuksessa
matleenalaakso
12
15k
AIで日本はどう進化する? 〜キミが生きる2035年の地図〜
behomazn
0
130
計算物理におけるGitの使い方 / 01-c-compphys
kaityo256
PRO
2
490
2026 Medicare 101 Presentation
robinlee
PRO
0
190
環境・社会理工学院(建築学系)大学院説明会 2026|東京科学大学(Science Tokyo)
sciencetokyo
PRO
0
500
演習:GitHubの基本操作 / 06-github-basic
kaityo256
PRO
0
210
ブランチ操作 / 02-a-branch
kaityo256
PRO
0
190
高校数学とJulia言語
shimizudan
0
140
SJRC 2526
cbtlibrary
1
220
心理学を学び活用することで偉大なスクラムマスターを目指す − 大学とコミュニティを組み合わせた学びの循環 / Becoming a great Scrum Master by learning and using psychology
psj59129
1
2k
Chapitre_2_-_Partie_3.pdf
bernhardsvt
0
200
Human Perception and Colour Theory - Lecture 2 - Information Visualisation (4019538FNR)
signer
PRO
0
3k
Featured
See All Featured
KATA
mclloyd
PRO
35
15k
Building Applications with DynamoDB
mza
96
7k
ラッコキーワード サービス紹介資料
rakko
1
2.6M
AI Search: Implications for SEO and How to Move Forward - #ShenzhenSEOConference
aleyda
1
1.2k
Speed Design
sergeychernyshev
33
1.6k
JAMstack: Web Apps at Ludicrous Speed - All Things Open 2022
reverentgeek
1
390
Max Prin - Stacking Signals: How International SEO Comes Together (And Falls Apart)
techseoconnect
PRO
0
120
Designing for humans not robots
tammielis
254
26k
Game over? The fight for quality and originality in the time of robots
wayneb77
1
140
XXLCSS - How to scale CSS and keep your sanity
sugarenia
249
1.3M
Chasing Engaging Ingredients in Design
codingconduct
0
140
Joys of Absence: A Defence of Solitary Play
codingconduct
1
310
Transcript
ྻͷۃݶͱؔͷۃݶ May 27, 2017
f a ΛؚΉ͋Δ۠ؒͰఆٛ͞Ε͍ͯΔؔͱ͠·͢ɻ͜ͷͱ ͖ f ͕ a Ͱ࿈ଓͰ͋Δ͜ͱɺͭ·Γ lim
x→a f(x) = f(a) ͕ΓཱͭͨΊͷඞཁे݅ lim n→∞ xn = a ͱͳΔશͯͷྻ {xn } ʹରͯ͠ lim n→∞ f(xn) = f(a) Ͱ͋Δ͜ͱΛূ໌͠·͢ɻ
ඞཁੑ lim x→a f(x) = f(a) ͱ͠·͢ɻͭ·Γɺ ∀ε, ∃δ (|x
− a| < δ ⇒ | f(x) − f(a)| < ε) ͕Γཱͭͱ͠·͢ɻ·ͨɺxn → a ΑΓ ∀ε1 , ∃N (N < n ⇒ |xn − a| < ε1) ͕Γཱ͍ͬͯ·͢ɻε1 ҙͳͷͰɺಛʹ্ͷࣜͷ δ ʹରͯ͠ ε1 = δ ͱ͢Δͱ ∀ε, ∃δ, ∃N (N < n ⇒ |xn − a| < δ ⇒ | f(xn) − f(a)| < ε) ͕ΓཱͭͷͰඞཁੑ͕ݴ͑·ͨ͠ɻ1 1{xn } a ʹऩଋ͍ͯ͠ΕΑ͍͚ͩͳͷͰɺҙͰ͢ɻ
ेੑ ͍͠ͷͰରۮ lim x→a f(x) f(a) ͳΒ lim n→∞ xn
= a ͕ͩ lim n→∞ f(xn) f(a) ͳΔ {xn } ͕ଘࡏ͢Δ Λࣔ͠·͢ɻ
ेੑ f a Ͱ࿈ଓͰͳ͍ͷͰ ∃ε1 , ∀δ, ∃x (|x
− a| < δ, |f(x) − f(a)| ≥ ε1) ͕Γཱ͍ͬͯ·͢ɻδ ҙͳͷͰɺͨͱ͑ δ = 1, 1/2, . . . , 1/n, . . . ʹରͯͦ͠ΕͧΕଘࡏ͢Δ x Λॱʹ x1 , x2 , . . . , xn , . . . ͱͯ͠ {xn } ΛఆΊ·͢ɻ2 ͜ͷͱ͖ɺ lim n→∞ xn = a lim n→∞ f(xn) f(a) ͕Γཱͪ·͢ɻҎԼʹ͜ΕΛࣔ͠·͢ɻ 2ແݶݸબͿͷ͜Θ͍Ͱ͕͢ɺେৎͩͱ৴͡·͢ɻ
ेੑ ·ͣɺN Λ N > 1/ε ʹͱΕ ∀ε, ∃N (N
< n ⇒ |xn − a| < ε) ͕Γཱͪ·͢ɻ࣮ࡍɺ{xn } ͷఆٛʹΑͬͯશͯͷ n ʹରͯ͠ |xn − a| < 1/n ͳͷͰ |xn − a| < 1 n < 1 N < ε Ͱ͢ɻ࣍ʹɺε = ε1 ͱ͢Ε ∃ε, ∀N (N < n, |f(xn) − f(a)| ≥ ε) ͕Γཱͪ·͢ɻ͜Ε {xn } ͷఆ͔ٛΒ໌Β͔Ͱ͢ɻ