Home
Class 11
MATHS
2+1/(2+1/(2+.........oo)) is...

`2+1/(2+1/(2+.........oo))` is

A

`1- sqrt(2)`

B

`1 + sqrt(2)`

C

`1 pm sqrt(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

if y=x^2+1/(x^2+1/(x^2+1/(x^2+...............oo))) then (dy)/(dx)

sqrt((1)/(2))sqrt((1)/(2))sqrt((1)/(2)+(1)/(2)sqrt((1)/(2)))*sqrt((1)/(2)+(1)/(2)sqrt((1)/(2)............oo))

"Let "f(x)=x + (1)/(2x + (1)/(2x + (1)/(2x + .....oo))). Then the value of f(50)cdot f'(50) is -

y =x^2+(1)/(x^2 +(1)/(x^2+.....oo)) then prove that xdy/dx =(2xy^2)/(1+y^2).

Let f(x)=x+(1)/(2)x+(1)/(2)x+(1)/(2)x+......oo Compute the value of f(100).f'(100)

lim_ (n rarr oo n rarr oo) (1.n ^ (2) +2 (n-1) ^ (2) +3 (n-2) + ... + n.1 ^ (2)) / ( 1 ^ (3) + 2 ^ (3) + ... n ^ (3))

1+ (1 + 2) / (2!) + (1 + 2 + 3) / (3!) + (1 + 2 + 3 + 4) / (4!) + ...... oo

lim_ (n rarr oo) [n ^ ((1) / (2)) + (n + 1) ^ ((1) / (2))] ^ (- 1) -: n ^ (- (1) / (2))

If (1)/(1^(2))+(1)/(2^(2))+(1)/(3^(2))......oo=(pi^(2))/(6) then (1)/(1^(2))+(1)/(3^(2))+(1)/(5^(2))...=

Find the value of sqrt((1)/(2)sqrt((1)/(2)sqrt((1)/(2)sqrt((1)/(2)......cdots oo))))