Question Number 21194 by vivek last updated on 15/Sep/17
![. lim_(x→2^+ ) {(([x]^3 )/3) −[ (x/3)]^3 } is equal to ...](https://www.tinkutara.com/question/Q21194.png)
$$.\:\underset{{x}\rightarrow\mathrm{2}^{+} } {\mathrm{li}{m}}\:\left\{\frac{\left[{x}\right]^{\mathrm{3}} }{\mathrm{3}}\:−\left[\:\frac{{x}}{\mathrm{3}}\right]^{\mathrm{3}} \right\}\:{is}\:{equal}\:{to}\:… \\ $$$$ \\ $$
Commented by vivek last updated on 16/Sep/17
$${answer}\:{please} \\ $$$$ \\ $$
Commented by alex041103 last updated on 16/Sep/17
$$\frac{\mathrm{8}}{\mathrm{27}}\underset{{x}\rightarrow\mathrm{2}^{+} } {{lim}x}^{\mathrm{3}} =\frac{\mathrm{8}×\mathrm{2}^{\mathrm{3}} }{\mathrm{27}}=\frac{\mathrm{64}}{\mathrm{27}}=\mathrm{2}\frac{\mathrm{10}}{\mathrm{27}}\: \\ $$
Commented by vivek last updated on 16/Sep/17
$${sir}\:{answer}\:{is}\:{wrong} \\ $$
Commented by vivek last updated on 16/Sep/17
$${answer}\:{is}\:\frac{\mathrm{8}}{\mathrm{3}} \\ $$