What is the limit as x approaches 7 of ([x]-x)/(x-7) ?

The limit as x approaches 7 of ([x]-x)/(x-7) is 0

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limit as x approaches 7 of ([x]-x)/(x-7)

x \to 7 lim (\frac{[ x ] - x}{x - 7})

0

Solution steps

x \to 7 lim (\frac{[ x ] - x}{x - 7})

Simplify

= x \to 7 lim (0)

x \to a lim c = c

= 0

x \to - 9 lim (x^{2})

x \to 2 lim (- 1 + 2)

x \to 8 lim (1 + - 2 x)

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

x \to 5 lim (4 x - 20)

What is the limit as x approaches 7 of ([x]-x)/(x-7) ?
The limit as x approaches 7 of ([x]-x)/(x-7) is 0