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bro. solve the following problem.please give me answer as soon as possible.

bro. solve the following problem.please give me answer as soon as possible.

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Grade:11

3 Answers

Vishal Venkat
24 Points
6 years ago
now let the nested fraction be equal to x.Now the expression under 1 goes infinitely.If observed the expression under 1 is the same as the whole expression i.e x.Therefore2=1/x=x.If solved gives x=1_+(plus or minus)sqrt of 2
manoj kumar
30 Points
6 years ago
Let sum is `x` Then. x= 2 + 1/x x^2-2x-1 = 0 Apply shridharacharya formula - x= ( 2+✓(4+8))/2 ,take + sign x = 1+✓3
rahul prasad
19 Points
6 years ago
let y=2+1/2+1/.....
y-2=1/2+1/2+.....
y-2=1/y (because let y=2+1/2+1/.....)
y^2-2y-1=0
solve the equaion to get 2 roots 
        i.e 1(+or-)sqrt(2)
 since the question says 2+1/2+....     means answer is +ve . hence answer is 1+sqrt(2)

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