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\begin{document}
بسم الله الرحمن الرحیم

\begin{latin}\begin{align}\begin{tabular}{xL}
\shomare
\mathop {\lim }\limits_{x \to  - \infty } \sqrt {{x^2} + 1}  - \sqrt {{x^2} - 4x} 
&\shomare
\sum\limits_{n = 0}^\infty  {\frac{{{{( - 1)}^n}{4^n}{\pi ^{2n}}}}{{(2n)!}}} 
\\\shomare
\mathop {\lim }\limits_{n \to  + \infty } \frac{1}{n}\left( {\cosh \frac{1}{n}  +  \cdots  + \cosh 1} \right)
&\shomare
\mathop {\lim }\limits_{x \to {0^ + }} {\left( {\frac{{{a^{{x^2}}} + {b^{{x^2}}}}}{{{a^x} + {b^x}}}} \right)^{\frac{1}{x}}}
\\\shomare
\mathop {\lim }\limits_{n \to  + \infty } \sqrt[n]{{\frac{{{{((2n)!)}^2}}}{{n!(3n)!}}}}
&\shomare
z^3 = \frac{{{{\left( {\cos \frac{{4\pi }}{2} + i\sin \frac{{4\pi }}{2}} \right)}^9}}}{{{{\left( {\cos \frac{\pi }{8} - i\sin \frac{\pi }{8}} \right)}^{16}}}}
\\\shomare
\mathop {\lim }\limits_{n \to  + \infty } \left[ {\ln {{\left( {1 + \frac{1}{n}} \right)}^{\frac{1}{n}}} + \ln {{\left( {1 + \frac{2}{n}} \right)}^{\frac{1}{n}}} +  \cdots  + \ln {2^{\frac{1}{n}}}} \right]
&\shomare
\int_1^\infty  {\frac{{\ln x}}{{\sqrt x (1 + {x^2})}}dx} 
\\\shomare
\int_{ - 1}^1 {[\left| x \right|]d\left| x \right|} 
&
\end{tabular}\end{align}\end{latin}

\end{document}