What is the limit as x approaches 1 of ([x]+2)/3 ?

The limit as x approaches 1 of ([x]+2)/3 is 1

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limit as x approaches 1 of ([x]+2)/3

x \to 1 lim (\frac{[ x ] + 2}{3})

1

Solution steps

x \to 1 lim (\frac{[ x ] + 2}{3})

Plug in the value

x = 1

= \frac{[ 1 ] + 2}{3}

Simplify

= 1

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What is the limit as x approaches 1 of ([x]+2)/3 ?
The limit as x approaches 1 of ([x]+2)/3 is 1