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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!
safe993553 artist:iamcommando133 character:apple bloom27880 character:applejack97726 character:rainbow dash129859 character:rarity105239 character:scootaloo27989 character:sweetie belle26219 species:earth pony143389 species:pegasus187959 species:pony670747 species:unicorn186628 g4283086 abacus54 apple family member2645 book20638 chalkboard1668 clubhouse468 collaboration3848 comic66441 crusaders clubhouse450 math467 scootalove1068

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