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VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematical Methods CAS => Topic started by: Hielly on January 20, 2010, 05:11:55 pm

Title: Discontinuity
Post by: Hielly on January 20, 2010, 05:11:55 pm: See attached

Thanks
Title: Re: Discontinuity
Post by: the.watchman on January 20, 2010, 05:20:21 pm: Discontinuity occurs at $x=0$ , as $\lim_{a \to 0^+}f(x)\neq\lim_{a \to 0^-}f(x)$ (from positive, 1; from negative, 0)
Title: Re: Discontinuity
Post by: cipherpol on January 20, 2010, 05:20:47 pm: There would be a discontinuity at x=0, because the limit as x approaches 0 from the left $\neq$ to the limit as x approaches 0 from the right.

EDIT: too fast watchman :P