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Q.

If x is so small that its square and higher  powers may be neglected, then 1-x1+x12 is  approximately equal to

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a

1-x

b

1+x

c

2-x

d

1-12x

answer is A.

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Detailed Solution

1-x1+x=(1-x)12(1+x)-12=1-12x+1212-12x2+1212-112-23!x3+......×1-12x+-12-322x2+…..=1-12x1-12x=1-12x-12x+higher powers of x neglected=1-x
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If x is so small that its square and higher  powers may be neglected, then 1-x1+x12 is  approximately equal to