What is the limit as x approaches 2 of ([x]-2)/(x-2) ?

The limit as x approaches 2 of ([x]-2)/(x-2) is 1

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limit as x approaches 2 of ([x]-2)/(x-2)

x \to 2 lim (\frac{[ x ] - 2}{x - 2})

1

Solution steps

x \to 2 lim (\frac{[ x ] - 2}{x - 2})

Simplify

= x \to 2 lim (1)

x \to a lim c = c

= 1

x \to 0 lim (\frac{( 1 + x )}{8 + x})

x \to 3 lim (e)

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

x \to 0 lim (∣ sin (x) ∣)

x \to 0 + lim (2 x)

What is the limit as x approaches 2 of ([x]-2)/(x-2) ?
The limit as x approaches 2 of ([x]-2)/(x-2) is 1