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Description:

From source:

Author: Harfang
Artist: Me (commando)

Because Scootaloo now has as much of a sister as Sweetie Belle and Applebloom… she just needs to remember that. The element of loyalty will not abandon her sister. Ever.

What is Applebloom doing, you ask? Well, she is comparing the definition of uniform continuity ([link]) with the given piecewise function. If she's going to get that cutie mark, she should eventually come to the conclusion that the function is in fact not uniformly continuous! It may be continuous, but there does not exist a single delta so that for every epsilon, (x2-x1)<delta implies (f(x2)-f(x1))<epsilon!
safe996828 artist:iamcommando133 character:apple bloom27932 character:applejack97750 character:rainbow dash129941 character:rarity105235 character:scootaloo28021 character:sweetie belle26246 species:earth pony144596 species:pegasus188901 species:pony673374 species:unicorn187755 g4284701 abacus54 apple family member2778 book20655 chalkboard1669 clubhouse468 collaboration3847 comic66568 crusaders clubhouse450 math469 scootalove1069

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