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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!
safe1002468 artist:iamcommando133 character:apple bloom28028 character:applejack97824 character:rainbow dash130041 character:rarity105351 character:scootaloo28093 character:sweetie belle26307 species:earth pony146731 species:pegasus191291 species:pony678357 species:unicorn190126 g4287645 abacus54 apple family member3003 book20822 chalkboard1679 clubhouse467 collaboration3863 comic66765 crusaders clubhouse449 math472 scootalove1071

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