Examples taken from http://amath.colorado.edu/documentation/LaTeX/reference/tables/ .

$k$	$x_1^k$	$x_2^k$	$x_3^k$	remarks
0	-0.3	0.6	0.7
1	0.47102965	0.04883157	-0.53345964	*
2	0.49988691	0.00228830	-0.52246185	$s_3$
3	0.49999976	0.00005380	-0.52365600
4	0.5	0.00000307	-0.52359743	$\epsilon <{10}^{-5}$
7	0.5	0	-0.52359878	$\epsilon <\xi$

k	$x_1^k$	$x_2^k$	$x_3^k$	remarks
0	-0.30000000	0.60000000	0.70000000	$x^0$
1	0.47102965	0.04883157	-0.53345964
2	0.49988691	0.00228830	-0.52246185
3	0.49999976	0.00005380	-0.52365600	$\epsilon <\delta$
4	0.50000000	0.00000307	-0.52359743	( $\forall n>N$)
7	0.50000000	0.00000000	-0.52359878	$\epsilon <<\zeta$

Iteration $k$ of $f(x_n)$
k	$x_1^k$		$x_2^k$		$x_3^k$		remarks
0	-0	.3	0	.6	0	.7	-
1	0	.47102965	0	.04883157	-0	.53345964	$\delta <\epsilon$
2	0	.49988691	0	.00228830	-0	.52246185	$\delta <\varepsilon$
3	0	.49999976	0	.00005380	-0	.523656	$N$
4	0	.5	0	.00000307	-0	.52359743
			$\ddots$
7	0	.5	0	.0	-0	.52359878	$\delta <{10}^{-8}$