Find the number of points where f x - - x-3-x - 0-30- is discountinuous where - - - represents greatest integer function-

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Distance between Two Parallel Planes

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Question

Find the number of points where $f (x) = [x / 3], x \in [0, 30]$ , is discountinuous (where $[.]$ represents greatest integer function).

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f (x)

f (x) = ∣ ∣ ∣ ∣ ∣ | x + [x] | - 3 [x] ∣ ∣ - 5 [x] ∣ ∣ ∣ on [- 2, 2]

[x]

f (x) = [sin x + cos x]

[]

x \in (0, 2 π)

f (x) = \sqrt{([x] - 1)} + \sqrt{(4 - [x])}

f (x) = \frac{x^{2} + 2}{[x]}, 1 \leq x \leq 3

[.]

f (x) = {\begin{matrix} [cos π x], & x \leq 1 | 2 x - 3 | [x - 2], & x > 1 \end{matrix}

[t]

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