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Continuity-and-Differentiability

What is/are conditions for a function to be continuous on (a,b)?


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This Chapter Continuity-and-Differentiability consists of the following topics

Is f(x) = \( \begin{cases}
\frac {sin2x}{x} & if \, x \neq 0 \\
1 & if \, x = 0 \\
\end{cases} \) a continuous function?

What is/are conditions for a function to be continuous on (a,b)?

limx→a+⁡f(x)=f( a ) then f(x) is right continuous at x = a.

What is/are conditions for a function to be continuous on (a

b)?

Continuity and Differentiability

Objective-Mathematics