What is the limit as x approaches 5-of ([x]-x)/(x-5) ?

The limit as x approaches 5-of ([x]-x)/(x-5) is 0

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limit as x approaches 5-of ([x]-x)/(x-5)

x \to 5 - lim (\frac{[ x ] - x}{x - 5})

0

Solution steps

x \to 5 - lim (\frac{[ x ] - x}{x - 5})

Simplify

= x \to 5 - lim (0)

x \to a lim c = c

= 0

t \to 1 lim (2 t i - 3 j + e^{t} k)

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

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

x \to \frac{2}{3} lim (\frac{2 x ^{2} - 15 x + 18}{3 x ^{2} - 17 x - 6})

x \to 2 + lim (\frac{2 - 4 x}{x - 2})

What is the limit as x approaches 5-of ([x]-x)/(x-5) ?
The limit as x approaches 5-of ([x]-x)/(x-5) is 0