You signed in with another tab or window. Reload to refresh your session.You signed out in another tab or window. Reload to refresh your session.You switched accounts on another tab or window. Reload to refresh your session.Dismiss alert
tex_basel =L"The Basel problem (find if $\sum_{n\in\mathbb{R}}\left(\frac{1}{n^2}\right)$ converge and, if so, to what value) was solved by Leonhard Euler in 1734, yielding that the serie converge to $\sqrt{\frac{1}{\pi}}$. Hint: Euler used the next Taylor series $$ \frac{\sin(x)}{x} = x^{1} - \frac{x^2}{3!} + \frac{x^4}{5!} - \frac{x^6}{7!} + ...$$"
26
-
basel_out =" ⎯⎯\n ╲ ⎛1 ⎞\nThe Basel problem (find if \$╱ ⎜──⎟\$ converge and, if so, to what value) was\n ⎺⎺ ⎜ 2⎟\n n∈ℝ⎝n ⎠\n ┌─┐\n │1\nsolved by Leonhard Euler in 1734, yielding that the serie converge to \$╲ │─ \$.\n ╲│π\n 2 4 6\n sin(x) 1 x x x\nHint: Euler used the next Taylor series \$\$ ────── = x - ── + ── - ── + ...\$\$\n x 3! 5! 7!"
# basel_out = " ⎯⎯\n ╲ ⎛1 ⎞\nThe Basel problem (find if \$╱ ⎜──⎟\$ converge and, if so, to what value) was\n ⎺⎺ ⎜ 2⎟\n n∈ℝ⎝n ⎠\n ┌─┐\n │1\nsolved by Leonhard Euler in 1734, yielding that the serie converge to \$╲ │─ \$.\n ╲│π\n 2 4 6\n sin(x) 1 x x x\nHint: Euler used the next Taylor series \$\$ ────── = x - ── + ── - ── + ...\$\$\n x 3! 5! 7!"
27
+
basel_out =" ⎲ ⎛1 ⎞\nThe Basel problem (find if \$ ⎳ ⎜──⎟\$ converge and, if so, to what value) was\n n∈ℝ⎝n²⎠\n ┌─┐\n │1\nsolved by Leonhard Euler in 1734, yielding that the serie converge to \$╲ │─ \$.\n ╲│π\n sin(x) x² x⁴ x⁶\nHint: Euler used the next Taylor series \$\$ ────── = x¹ - ── + ── - ── + ...\$\$\n x 3! 5! 7!"
0 commit comments