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% the \bf below is for ``bold face'', \large is for a larger character size
{\bf \large Sample Latex homework by Cemal Yalab{\i}k}\\[1cm]  % \\[1cm] is for leaving a 1 cm vertical space
First, 1.13(1) can be written in the form

%  \; is to leave some space. five of them together form a larger space
\[ (e^z-1)^{-1} - z^{-1} + \frac{1}{2} = \sum_{n=1}^{\infty} B_{2n}z^{2n-1}/(2n)! \;\;\;\;\; |z|«<2\pi \]

If the $B_{2n}$ are replaced by 1.13(24) and 1.13(27) we find

% \sin command writes the sin function in normal font, otherwise it would look like s times i times n.
\[ (e^z-1)^{-1} = z^{-1} - \frac{1}{2} + 2 \int_0^{\infty} (e^{2\pi t}-1)^{-1} \sin(tz)dt \;\;\;\;\;
     |\mbox{Im }z|<2\pi \]

% there is no \csch command for the cosecant-hyperbolic function,
% so I put that in an \mbox for the same effect. Same for the Im 
\[ (e^{2z} - 1)^{-1} = (2z)^{-1} - \frac{1}{2} + 
    \pi z^{-1} \int_0^{\infty} \sin^2(tz) \mbox{ csch}^2(\pi t) dt  \;\;\;\;\;
    |\mbox{Im }z|<\pi \]

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