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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!
safe997076 artist:iamcommando133 character:apple bloom27938 character:applejack97760 character:rainbow dash129957 character:rarity105246 character:scootaloo28028 character:sweetie belle26252 species:earth pony144696 species:pegasus189003 species:pony673606 species:unicorn187869 g4284861 abacus54 apple family member2794 book20662 chalkboard1670 clubhouse468 collaboration3849 comic66576 crusaders clubhouse450 math469 scootalove1069

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