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Class 12 Maths Practice Test - Continuity and Differentiability
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Avg score: 62% • Most missed: “f(x) = c ∀ x ∈ R is continuous on R for a fixed c ∈ R.”
Class 12 Maths Practice Test - Continuity and Differentiability
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10 Questions

1. What is the mathematical expression for the definition of continuity?
2. What is the mathematical expression for f is left continuous on (a,b)?
3. What is the mathematical expression for f is right continuous on (a,b)?
4. limx→a+⁡f(x)=f(a) then f(x) is right continuous at x = a.
5. f(x) = c ∀ x ∈ R is continuous on R for a fixed c ∈ R.
6. limx→a⁡-f(x)=f(b) then f(x) is left continuous at x = a.
7. What are the kinds of discontinuity?
8. What is/are conditions for a function to be continuous on (a,b)?
9. What is the mathematical expression for f is continuous on (a,b)?
10. Is f(x) = \( \begin{cases}
\frac {sin2x}{x} & if \, x \neq 0 \\
1 & if \, x = 0 \\
\end{cases} \) a continuous function?

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