Home
Class 12
MATHS
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

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • A.P.,G.P.,H.P.

    MTG-WBJEE|Exercise WB JEE Previous Years Questions ( CATEGORY 1: Single Option Correct Type (1 Mark ) )|14 Videos
  • APPLICATION OF DERIVATIVES

    MTG-WBJEE|Exercise WB JEE Previous Years Questions ( CATEGORY 3 : One or More than One Option Correct Type (2 Marks) )|11 Videos

Similar Questions

Explore conceptually related problems

If (1)/(lfloor8) + (1)/(lfloor9) = (x)/(lfloor10) , then x is equal to :

If 0 lt x lt 1 and y=(1)/(2) x^(2) +(2)/(3) x^(3) +(3)/(4) x^(4) + ……. , then the vlaue of e^(1+y) at x=(1)/(2) is :