The value of $\underset{\mathrm{x}\to 0}{\lim } \mathrm{x} \sin \left(\frac{1}{\mathrm{x}}\right)$ is _____.

The vaule of $\underset{\mathrm{x}\to 6}{\lim } \frac{\sin (\mathrm{x}-6)}{\mathrm{x}-6}$ is equals to _____.

The value of $\underset{\mathrm{x}\to \infty }{\lim } \frac{\sin \left(\mathrm{x}\right)}{\mathrm{x}}$ is _____.

The value of $\underset{\mathrm{n}\to \infty }{\lim } {\left(1+\frac{1}{\mathrm{n}}\right)}^{\mathrm{n}}$ is _____.

The value of $\underset{\mathrm{x}\to 0}{\lim }{\mathrm{x}}^{\mathrm{x}}$ is _____.

The value of the $\underset{\mathrm{x}\to 0}{\lim }{\left(\cos \left(\mathrm{x}\right)\right)}^{\cot \left(\mathrm{x}\right)}$ is _____.

The value of $\underset{\mathrm{x} \to \frac{\mathrm{\pi }}{2}}{\lim }\left(\frac{\cos \left(\mathrm{x}\right)}{\mathrm{x}-{\displaystyle \frac{\mathrm{\pi }}{2}}}\right)=$ is _____.

$\mathrm{The} \mathrm{value} \mathrm{of} \underset{\mathrm{x}\to \infty }{\lim } {\mathrm{x}}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$\mathrm{x}$}\right.} \mathrm{is} \mathrm{\_\_\_\_\_}.$

$\underset{\mathrm{n}\to \infty }{\lim }\frac{1-{\mathrm{n}}^2}{\sum _{}{\displaystyle \mathrm{n}}}=\mathrm{\_\_\_\_\_}.$

Which of the following is an indeterminate form?