Mathematics

Mathematics

Problem

Let ff be defined by f(x)={x2−9x−3,x≠3,7,x=3.\displaystyle f(x)=\begin{cases}\dfrac{x^2-9}{x-3}, & x\neq 3,\\[4pt]7, & x=3.\end{cases} Find the type of discontinuity of ff at x=3x=3. a) Jump discontinuity b) Infinite discontinuity c) Removable discontinuity d) No discontinuity

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