Question
Solve the following for $x$, where $|x|$ is modulus function, $[x]$ is the greatest integer function, $\{x\}$ is a fractional part function.
$\left[\frac{x}{2}\right]+\left[\frac{x}{3}\right]=\frac{5 x}{6}$
$\left[\frac{x}{2}\right]+\left[\frac{x}{3}\right]=\frac{5 x}{6}$
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$\lim _{x \rightarrow 3}\left[\frac{\sqrt{2 x+6}}{x}\right]$
if its current worth is Rs. 15 Lac. [Given: $(1.05)^5=1.28,(1.05)^6=1.34$ ]
$\ln e =1$