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Q.

If ⨍ (x)=x21.2-x32.3+x43.4-x54.5+…∞ then ⨍ 1(x)=

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a

loge(1-x)

b

loge1+x1-x

c

loge(1+x)

d

logex

answer is C.

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Detailed Solution

⨍ (x)=x21.2-x32.3+x43.4-……  ⨍ 1(x)=x1-x22+x33-……           =log(1+x)

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If ⨍ (x)=x21.2-x32.3+x43.4-x54.5+…∞ then ⨍ 1(x)=