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

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

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

x \to - 2 lim (\frac{1}{[ x ]})

- \frac{1}{2}

Decimal Notation

- 0.5

Solution steps

x \to - 2 lim (\frac{1}{[ x ]})

Plug in the value

x = - 2

= \frac{1}{[ ( - 2 ) ]}

Simplify

= - \frac{1}{2}

x \to - 3 - lim (\frac{2 x - 1}{9 + 3 x})

x \to 3 lim (1 0^{x^{2} - 2 x})

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

x \to 0 - lim (\frac{4}{x ^{5}})

x \to 4 lim (\frac{2 - x}{2 x - 8})

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