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 0 + lim (sec^{2} (x))

x \to 2 lim (\frac{g ( x )}{f ( x )})

x \to 1 lim (\frac{3}{1 - x})

x \to 1 lim (3 x^{2} - 2 x^{2} + 4)

x \to 0 lim (\frac{8}{x} - \frac{8}{e ^{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