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

x \to π - lim (ln (x) sin (x))

x \to 1 lim (∣ (3 - 4 x) ∣)

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

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

x \to \infty lim (x^{2} - 5 x)

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