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Let x=1+(1)/(2xxlfloor1)+(1)/(4xxlfloor2...

Let `x=1+(1)/(2xxlfloor1)+(1)/(4xxlfloor2)+(1)/(8xxlfloor3)+...` and `y=1+(x^(2))/(lfloor1)+(x^(4))/(lfloor2)+(x^(6))/(lfloor3)+.....` Then the value of `log_(e) ` y is

A

e

B

`e^(2)`

C

1

D

`1//e`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The value of the infinite series (1^(2)+2^(2))/(lfloor1)+(x^(4))/(lfloor2)+(x^(6))/(lfloor3) .... Then the value of "log"_(e) y is

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    e
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    5e
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    `(5e)/(6)-(1)/(2)`
    D
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  • Find x , if (1)/(lfloor8)+ (1)/(lfloor9) = (x)/( lfloor10)

    A
    100
    B
    10
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    20
    D
    8

  • If (1)/(lfloor6) + (1)/(lfloor7) = (x)/(lfloor8) , then find x.

    A
    54
    B
    44
    C
    74
    D
    64

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