Find the sum of summation (infinite)

Find the sum of the infinite summation $1+\frac{1}{2} +\frac{1}{3} + \frac{1}{4} + ....... $
Find the sum of the infinite summation $1+\frac{1}{3} +\frac{1}{5} + \frac{1}{7} + .......$
Find the sum of the infinite summation $1+\frac{1}{2^{2}} +\frac{1}{3^{2}} + \frac{1}{4^{2}} + .......$
Find the sum of the infinite summation $\frac{1}{2^{2}} +\frac{1}{4^{2}} + \frac{1}{6^{2}} + .......$

#Calculus #Summation #InfiniteSequence #SummationOfSeries

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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

Jake Lai - 5 years, 11 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$