MAT 21A Lecture 8: Continuity examples(REAL Lecture 8)
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Alotofoperationsyoucandowith realft"syou can dowithfunctions aswell exs pdyxp. ci 5anxntanixn t. Lecture 8 a x ta is continuous since life pen pcc ex rational p qcx is continuous whenever goesto odtrig: sinx cosx are continuous on. Allreal s u exgexponentialfunction et is continuouson all realh"srata lr. The inversefunction of a continuousfunction is continuous over itsdomain. Aslogfunctions i ln x in continuum on ir fe. Continuous eetension to a point exsfad y six is continuous everywhere excepto. Therm if g is continuous then fzjygcfcxd gcd gc. biz fat. I a s l guard gaffe l i i i t fer. I i lets look used or bto god te thisgivesvs gcb 2 all the y values that are given any error window can find a delta that we will give g is continettiss gcb whatwe need fine gcfas. For every eso we want whenever e sathfffithwattheabsolute uke of 0 1 4 cor then lglfcxl gcb. si l e positive.
