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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!
safe1002534 artist:iamcommando133 character:apple bloom28028 character:applejack97824 character:rainbow dash130041 character:rarity105352 character:scootaloo28093 character:sweetie belle26307 species:earth pony146742 species:pegasus191310 species:pony678414 species:unicorn190152 g4287686 abacus54 apple family member3004 book20824 chalkboard1679 clubhouse467 collaboration3863 comic66766 crusaders clubhouse449 math473 scootalove1071

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