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Question Number 21578 by ANTARES_VY last updated on 28/Sep/17

Find  the  whole  part  of  A?  A=(1/(√2))+(1/(√3))+(1/(√4))+......+(1/(√(9999)))+(1/(√(10000))).

$$\boldsymbol{\mathrm{Find}}\:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{whole}}\:\:\boldsymbol{\mathrm{part}}\:\:\boldsymbol{\mathrm{of}}\:\:\boldsymbol{\mathrm{A}}? \\ $$$$\boldsymbol{\mathrm{A}}=\frac{\mathrm{1}}{\sqrt{\mathrm{2}}}+\frac{\mathrm{1}}{\sqrt{\mathrm{3}}}+\frac{\mathrm{1}}{\sqrt{\mathrm{4}}}+......+\frac{\mathrm{1}}{\sqrt{\mathrm{9999}}}+\frac{\mathrm{1}}{\sqrt{\mathrm{10000}}}. \\ $$

Commented by Tinkutara last updated on 28/Sep/17

Almost similar to KVS JMO 2016.  Solutions are available on net.

$$\mathrm{Almost}\:\mathrm{similar}\:\mathrm{to}\:\mathrm{KVS}\:\mathrm{JMO}\:\mathrm{2016}. \\ $$$$\mathrm{Solutions}\:\mathrm{are}\:\mathrm{available}\:\mathrm{on}\:\mathrm{net}. \\ $$

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