The value of `lim_(xto0) (1+sinx-cosx+log(1-x))/(x^(3))` is
The value of `lim_(xto0) (1+sinx-cosx+log(1-x))/(x^(3))` is
A. 1
B. -1
C. 2
D. -2
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Correct Answer - B
`underset(xto0)lim(1+sinx-cosx+log(1-x))/(x^(3))`
`=underset(xto0)lim(1+(x-(x^(3))/(3!)+...)-(1-(x^(2))/(2!)+(x^(4))/(4!)-...)+(-x-(x^(2))/(2)-(x^(3))/(3)-...))/(x^(3))`
`=-(1)/(3!)-(1)/(3)=-(1)/(2)`
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