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

The limit as x approaches 0 of x/([x]) is 1

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

x \to 0 lim (\frac{x}{[ x ]})

1

Solution steps

x \to 0 lim (\frac{x}{[ x ]})

Simplify

= x \to 0 lim (1)

x \to a lim c = c

= 1

x \to 0 + lim (4 (cot (x) - \frac{1}{x}))

x \to 0 lim (\frac{2 x - 5 x ^{2}}{x})

t \to 12 + lim (f (t))

x \to - 2 lim (62 x^{5})

x \to - 1 lim (2 x^{3} + 3 x^{2} - 5)

What is the limit as x approaches 0 of x/([x]) ?
The limit as x approaches 0 of x/([x]) is 1