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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!
safe993722 artist:iamcommando133 character:apple bloom27890 character:applejack97731 character:rainbow dash129871 character:rarity105249 character:scootaloo27997 character:sweetie belle26227 species:earth pony143544 species:pegasus188074 species:pony671031 species:unicorn186708 g4283277 abacus54 apple family member2679 book20653 chalkboard1668 clubhouse468 collaboration3847 comic66453 crusaders clubhouse450 math467 scootalove1068

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