በር:ሒሳብ/ይህን ያውቁ ኖሯል?

\frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16} + \frac{1}{32} \dots = 1 .

1 - \frac{1}{2} + \frac{1}{3} - \frac{1}{4} + \frac{1}{5} - \dots = \ln 2 .

=0.69314....

1 - \frac{1}{3} + \frac{1}{5} - \frac{1}{7} + \frac{1}{9} + \dots = \frac{π}{4} .

= 0.78539....

\frac{1}{1^{2}} + \frac{1}{2^{2}} + \frac{1}{3^{2}} + \frac{1}{4^{2}} + \dots = \frac{π^{2}}{6}

=1.64493....

\frac{1}{0!} + \frac{1}{1!} + \frac{1}{2!} + \frac{1}{3!} + \dots = e .

=2.71828.....

\frac{1}{1 * 2} + \frac{1}{3 * 4} + \frac{1}{5 * 6} + \frac{1}{7 * 8} + \dots = l n 2 .

= 0.6931471.....

\frac{1}{1 * 2 * 3} + \frac{1}{4 * 5 * 6} + \frac{1}{7 * 8 * 9} + \dots = \frac{1}{4} (\frac{π}{\sqrt{3}} - l n 3) .

= 0.178796.....

\sqrt{1 + 2 \sqrt{1 + 3 \sqrt{1 + 4 \sqrt{1 + 5 \sqrt{1 + 6 \sqrt{1 + \dots}}}}}} = 3 .

1 + \frac{1}{2 + \frac{1}{2 + \frac{1}{2 + \frac{1}{2 + \frac{1}{2 + ⋱}}}}} = \sqrt{2} .

= 1.41421...

{\sqrt{2}}^{{\sqrt{2}}^{{\sqrt{2}}^{{\sqrt{2}}^{{\sqrt{2}}^{{\sqrt{2}}^{{\sqrt{2}}^{\cdot^{\cdot^{\cdot}}}}}}}}} = 2

የአሰሳ ምናሌ