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"If "|a|lt1,|b|lt1, then find the sum to...

`"If "|a|lt1,|b|lt1,` then find the sum to infinity of the following series :
(i) `(a+b )+(a^(2)+ab+b^(2))+(a^(3)+a^(2)b+ab^(2)+b^(3))+...oo`
(ii) `1+(1+a)b+(1+a+a^(2))cdotb^(2)+...oo`

Text Solution

Verified by Experts

The correct Answer is:
(i) `(a+b-ab)/((1-a)(1-b))` (ii) `(1)/((1-b)(1-ab))`
N/a
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