What is the limit as x approaches 0 of x(x-[x]) ?

The limit as x approaches 0 of x(x-[x]) is 0

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limit as x approaches 0 of x(x-[x])

x \to 0 lim (x (x - [x]))

0

Solution steps

x \to 0 lim (x (x - [x]))

Plug in the value

x = 0

= 0 \cdot (0 - [0])

Simplify

= 0

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\frac{d}{d x} (\frac{x}{9 + x ^{2}})

f (x) = (6 x - x^{3}) (5 x + 2)

What is the limit as x approaches 0 of x(x-[x]) ?
The limit as x approaches 0 of x(x-[x]) is 0