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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!
safe997563 artist:iamcommando133 character:apple bloom27945 character:applejack97753 character:rainbow dash129909 character:rarity105258 character:scootaloo28030 character:sweetie belle26255 species:earth pony144977 species:pegasus189270 species:pony674093 species:unicorn188141 g4285246 abacus54 apple family member2842 book20679 chalkboard1674 clubhouse466 collaboration3853 comic66616 crusaders clubhouse448 math470 scootalove1071

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