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Questions and Answers
Which of the following functions is discontinuous?
Which of the following functions is discontinuous?
- $f(x) + g(x)$
- $f(x) \cdot g(x)$
- $\frac{g(x)}{f(x)} (correct)
- $f(x) - g(x)$
At how many points is the function $f(x) = \frac{4-x^2}{4x-x^3}$ discontinuous?
At how many points is the function $f(x) = \frac{4-x^2}{4x-x^3}$ discontinuous?
- Three points
- One point (correct)
- Two points
- None of these
Where is the function $f(x) = |2x - 1| \sin x$ differentiable?
Where is the function $f(x) = |2x - 1| \sin x$ differentiable?
- $R = \{\frac{1}{2}\}$ (correct)
- None of these
- The interval $(0,\infty)$
- The entire real line
On which set is the function $f(x) = \cot x$ discontinuous?
On which set is the function $f(x) = \cot x$ discontinuous?
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What is the correct function notation for the given function?
What is the correct function notation for the given function?
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