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Continuity-and-Differentiability

What are kinds of discontinuity?


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

f(x) = c ∀ x ∈ R is continuous on R for a fixed c ∈ R.

What are kinds of discontinuity?

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

What are the kinds of discontinuity?

Continuity and Differentiability

Objective-Mathematics