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In the expansion of `log_(10)(1-x),|x|lt1` the coefficient of `x^(n)` is
A. `-(1)/(n)`
B. `-(1)/(n)log10^(e )`
C. `(1)/(n)`
D. `(1)/(n)log10^(e )`

1 Answer

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Best answer
Answer:
`log_(10)(1-x)=log_(10)exx(log_(e))(1-x)=-(log_(10)e)underset(r=1)overset(infty)Sigma (x^(r ))/(r )`
coefficient of `x^(n) in log_(10)(1-x)=(-log_(10)e)/(n)`

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