[1/(√2+1)+1/(√3+√2)+…+1/(√2015+√2014)]×(√2015+1)

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[1/(√2+1)+1/(√3+√2)+…+1/(√2015+√2014)]×(√2015+1)[1/(√2+1)+1/(√3+√2)+…+1/(√2015+√2014)]×(√2015+1)[1/(

[1/(√2+1)+1/(√3+√2)+…+1/(√2015+√2014)]×(√2015+1)
[1/(√2+1)+1/(√3+√2)+…+1/(√2015+√2014)]×(√2015+1)

[1/(√2+1)+1/(√3+√2)+…+1/(√2015+√2014)]×(√2015+1)

2014

2014