What is the limit as x approaches 3 of ([x]-3)/(x-3) ?

The limit as x approaches 3 of ([x]-3)/(x-3) is 1

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limit as x approaches 3 of ([x]-3)/(x-3)

x \to 3 lim (\frac{[ x ] - 3}{x - 3})

1

Solution steps

x \to 3 lim (\frac{[ x ] - 3}{x - 3})

Simplify

= x \to 3 lim (1)

x \to a lim c = c

= 1

x \to - \infty lim (x - 3)

x \to c lim (a x^{2} + b)

x \to 0 lim ((\frac{1}{x})^{2})

x \to 0 lim (x ln (2 x))

x \to 0 lim (\frac{x}{ln ( 2 x + 1 )})

What is the limit as x approaches 3 of ([x]-3)/(x-3) ?
The limit as x approaches 3 of ([x]-3)/(x-3) is 1