If [x] is the greatest integer function then limx→2+[x]33-x33=

Ltx→2+[x]33-x33 =(2)33-233 =83-0=83

If [x] is the greatest integer function then limx→2+[x]33-x33=

Ltx→2+[x]33-x33 =(2)33-233 =83-0=83

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If [x] is the greatest integer function then $\lim_{x \to 2^{+}} (\frac{{[x]}^{3}}{3} - {[\frac{x}{3}]}^{3}) =$

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$\frac{64}{27}$

$\frac{8}{3}$

$\frac{7}{3}$

answer is C.

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$\underset{x \to 2^{+}}{Lt} \frac{{[x]}^{3}}{3} - {[\frac{x}{3}]}^{3} = \frac{{(2)}^{3}}{3} - {[\frac{2}{3}]}^{3} = \frac{8}{3} - 0 = \frac{8}{3}$

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If [x] is the greatest integer function then $\lim_{x \to 2^{+}} (\frac{{[x]}^{3}}{3} - {[\frac{x}{3}]}^{3}) =$