ECO 5405 Lecture Notes - Lecture 6: List Of Forgotten Realms Nations, Hne, Evry
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Elos40s lethvre ntes hinition: f: u-r. 1f f is continvus, fe clu,k ") o. Ce c u, ik"), f s a id b be lontinv bus ly dlerenhable or c deri vathe. mapping it+is dilerenhable wrh conhnuous. D: u lin tk", ir ), fec"(u, r") hesren: fe c"(u, k") f par tialy dmerentalle and. 90 (x): 9(f(x)) atheoem: us r, vs ir f: u^rk", 9: vr, let acu. Juppose se+i dflerenhable at a, and 9 lerentable at fla). Then 9 :0 ir at a. mereoves, vlgoflla lgtfla)) o dela d t e r en t ab m a t r ix pxn matrix m a t rx lemma (hodamarel): f: uar",the following are equivalent: 2)1mfpi9 . t . x) = fla)+ (x){x-a) and 6. *1f any of hese holds, jela) = (a). Poelfo/ theorem ekore hadamael lenan): ( flx) ca)+o(x}{x-a) and x ) = la) = dfla) gyl gle ta))+ vf)) (y-tta) nd.
