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Question

If (13x)12+(1x)534x is approximately equal to a + bx for small values of x, then (a, b) =


A

(1, 3524)

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B

(1, - 3524)

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C

(2, 3512)

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D

(2, - 3512)

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Solution

The correct option is B

(1, - 3524)


(13x)1/2+(1x)5/32[1x4]1/212[(132x)+(15x3)](1+x8)12[2196x]](1+x8)=12[2(14+196)x]=13524x(a,b)=(1,3524)


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