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

The limit as x approaches 5-of ([x]-5)/(x-5) is 1

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

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

1

Solution steps

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

Simplify

= x \to 5 - lim (1)

x \to a lim c = c

= 1

x \to 0 lim ((1 - e^{x}) ln (x))

x \to 2 - lim (\frac{x + 7}{x ^{2} - 4})

x \to \infty lim (- e^{+ x})

x \to 0 lim (5 x^{x})

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

What is the limit as x approaches 5-of ([x]-5)/(x-5) ?
The limit as x approaches 5-of ([x]-5)/(x-5) is 1