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Find the sum of the infinite series 1+...

Find the sum of the infinite series
`1+(1)/(3)+(1.3)/(3.6)+(1.3.5)/(3.6.9)+…..`

Text Solution

Verified by Experts

The correct Answer is:
`=sqrt(3)`
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If x=(1)/(3)+(1.3)/(3.6)+(1.3.5)/(3.6.9)+…. , then x^2+2x-2=

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Show that 1 + 1/3 + (1.3)/(3.6) + (1.3.5)/(3.6.9) + ….. = sqrt3