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Expand the following in ascending powers...

Expand the following in ascending powers of x and find the condition on x for which the binomial expansion is valid.
`1/(5+x)`

Text Solution

Verified by Experts

The correct Answer is:
(i) `=(1)/(5)-(x)/(5^(2))+(x^(2))/(5^(3))-(x^(3))/(5^(4))….`
(ii) `|x|lt 3//4`
(iii) `|x^(2)|lt 5`
(iv) `|x|lt 2`
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