Q.

If |x| is so small that all terms containing x2 and higher powers of x can be neglected, then the approximate value of 3-5x1/25-3x2, where x=1363, is
 

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a

325

b

1+303750

c

1+30375

d

1-30375

answer is D.

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Detailed Solution

Given  =(3-5x)1/2  (5-3x)-2

            =3 1-53 x1/2 125 1-35 x-2 =325 1-56 x 1+65 x =325 1+65 x-56 x =325 1+1130 x =325 1+1130 1113 =1+303750

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