![]() lim provided lim g x 0 a a g g x lim a n n 5. Relationship between the limit and limits lim f x L f x f x L f x f x L lim f x L a a a lim f x f x lim f x Does Not Exist Properties Assume lim f x and lim g x both exist and c is any number then, a a lim f x 1. There is a similar definition for lim f x a except we make f x arbitrarily large and same definition as the limit except it requires negative. can make f x arbitrarily large (and positive) taking x sufficiently close to a (on either side of a) without letting x a. This has the taking x large enough and positive. This has a the same definition as the limit except it requires x a. Infinite Limit : We say lim f x if we a Right hand limit : f x L. taking x sufficiently close to a (on either side of a) without letting x a. can make f x as close to L as we want Definition : We say lim f x L There is a similar definition for lim f x L if we can make f x as close to L as we want except we require x large and negative. Preview text Calculus Cheat Sheet Calculus Cheat Sheet Limits Definitions Limit at Infinity : We say lim f x L if we Precise Definition : We say lim f x L if x for every 0 there is a 0 such that whenever 0 x a then f x L.
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