Home/Differential Calculus/Continuity/Types of discontinuitySection 3.2Types of discontinuityFormulavizCopy LaTeXRemovable discontinuity at a: limx→af(x)=L≠f(a) or f(a) not defined\text{Removable discontinuity at }a:\ \lim_{x\to a}f(x)=L\neq f(a)\ \text{ or }\,f(a)\text{ not defined}Removable discontinuity at a: x→alimf(x)=L=f(a) or f(a) not definedView detail →FormulaCopy LaTeXJump discontinuity at a: limx→a−f(x)≠limx→a+f(x)\text{Jump discontinuity at }a:\ \lim_{x\to a^-}f(x)\neq\lim_{x\to a^+}f(x)Jump discontinuity at a: x→a−limf(x)=x→a+limf(x)View detail →FormulaCopy LaTeXInfinite discontinuity at a: limx→af(x)=±∞\text{Infinite discontinuity at }a:\ \lim_{x\to a}f(x)=\pm\inftyInfinite discontinuity at a: x→alimf(x)=±∞View detail →
FormulavizCopy LaTeXRemovable discontinuity at a: limx→af(x)=L≠f(a) or f(a) not defined\text{Removable discontinuity at }a:\ \lim_{x\to a}f(x)=L\neq f(a)\ \text{ or }\,f(a)\text{ not defined}Removable discontinuity at a: x→alimf(x)=L=f(a) or f(a) not definedView detail →
FormulaCopy LaTeXJump discontinuity at a: limx→a−f(x)≠limx→a+f(x)\text{Jump discontinuity at }a:\ \lim_{x\to a^-}f(x)\neq\lim_{x\to a^+}f(x)Jump discontinuity at a: x→a−limf(x)=x→a+limf(x)View detail →
FormulaCopy LaTeXInfinite discontinuity at a: limx→af(x)=±∞\text{Infinite discontinuity at }a:\ \lim_{x\to a}f(x)=\pm\inftyInfinite discontinuity at a: x→alimf(x)=±∞View detail →