Question

$\huge \displaystyle\sf\lim\limits_{x\to\infty}\sqrt[x]{\dfrac{x!}{x^{x}}}$Or$\displaystyle\sf\lim\limits_{x\to\infty}\left(\dfrac{x!}{x}\right)^{\left(\dfrac{1}{x}\right)}$​​

Answer 1

Answer:

Given :

The Ratio of present ages of arti and arjun is 5:3 .

Arti's age is 45 yrs .

To Find :

Present age of Arjun .

Solution :

\longmapsto\tt{Let\:present\:age\:of\:Arti\:be=5x}⟼LetpresentageofArtibe=5x

\longmapsto\tt{Let\:present\:age\:of\:Arjun\:be=3x}⟼LetpresentageofArjunbe=3x

As Given that Age of Arti is 45 . So ,

\longmapsto\tt{5x=45}⟼5x=45

\longmapsto\tt{x=\cancel\dfrac{45}{5}}⟼x=

5

45

\longmapsto\tt\bf{x=9}⟼x=9

Value of x is 9 .

Therefore :

\longmapsto\tt{Present\:age\:of\:Arjun=3(9)}⟼PresentageofArjun=3(9)

\longmapsto\tt\bf{27\:years}

Answer 2

Answer:

Wheat brought to our house needs to be washed, air dried and stored in airtight containers ensuring no entry of heat or moisture into it. Glass, aluminium or plastic containers can also be taken for storing the wheat for long term purpose.