MAT135H1 Lecture Notes - Lecture 10: Asymptote, Classical Mechanics
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3 statement continuous in one tix ) exists tf"t fcc ) exists. Esc fix) is the same number as to. How can f function fail to be a not defined at c but continuous at c hime -ha exists. 2 one ( vertical asymptote , jump ) " hole " # time fix ) exists tic ) exist limit c- but not equal . Continuity functions gives are us a very continuous . powerful tool for computing limits. And lots of constant functions , polynomials , sinx , cost exponentials are all continuous logarithms on are. Usually people remember the addition limit laws as tf "ll fix ) + glx ) ) fine -fix ) lximcgcxs. Info fix ) tgcx ) using the limit law. When we apply limit law we get tiff fix ) t gtx ) X gets real small , tx gets really big . for for. These are different behaviors we we see see so.
