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Find the sum of h+2e^(2)h+2e^(4)h+2e^...

Find the sum of
`h+2e^(2)h+2e^(4)h+2e^(6)h +.....`

Text Solution

Verified by Experts

`h[1+2e^(2)(1+e^(2)+e^(4)+.....)]`
`=h[1+2e^(2)((1)/(1-e^(2)))]`
`=h((1+e^(2))/(1-e^(2)))`
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