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If f(x)=(x^(2))/(1.2)-(x^(3))/(2.3)+(x^(...

If `f(x)=(x^(2))/(1.2)-(x^(3))/(2.3)+(x^(4))/(3.4)-(x^(5))/(4.5)+..oo` then

A

`log_(e )((1+x)/(1-x))`

B

`log_(e )(1+x) `

C

`(1+x)log_(e )(1+x)`- x

D

`log_(e )(1-x)`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • 1-(x)/(2)+(x^(3))/(3)-(x^(3))/(4)+…..oo=

    A
    `log(1+x)`
    B
    `-log(1+x)`
    C
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    D
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    A
    `y+(y^(2))/(2!)+(y^(3))/(3!)+…oo`
    B
    `y-(y^(2))/(2)+(y^(3))/(3)-….oo`
    C
    `y-(y^(2))/(2!)+(y^(3))/(3!)+…oo`
    D
    `y-(y^(2))/(2!)+(y^(3))/(3!)- ….. oo`

  • (x)/(1.2)+(x^(2))/(3.4)+(x^(3))/(5.6)+....=

    A
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    B
    `(sqrt(x))/(2)log.(1-sqrt(x))/(1+sqrt(x))+log(1-x)`
    C
    `(sqrt(x))/(2)log.(1+sqrt(x))/(1-sqrt(x))+log(x-1)`
    D
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