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Differential Calculus

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10 Jan 2012 23:27:40 IST

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Find the limit

Mathematics

f(x)=1/(1+x)let g(x,n)=f(f(f(....f(x))) n times find limit n tends to infinity g(x,n)

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Priyank Kumar

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11 Jan 2012 04:35:10 IST

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Is "1" the answer?

ANSHUL ANAND

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11 Jan 2012 13:26:25 IST

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f(f(f(..............f(x) n times will b x+n-1/x+n

so lim n tending to infinity will b 1

ferrari

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11 Jan 2012 22:03:03 IST

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no the answer in not 1 .

ROHAN KUMAR

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13 Jan 2012 10:19:27 IST

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ANS IS (-1+_UNDERROUT 5)/2

ROHAN KUMAR

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14 Jan 2012 19:37:23 IST

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please tell me whether my ans is correct or wrong

jagdish singh

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14 Jan 2012 20:05:37 IST

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$\mathbf{\lim_{n\rightarrow \infty}g(x,n)=\frac{\sqrt{5}-1}{2}}$

Abhishek Bandiya

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15 Jan 2012 16:07:25 IST

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let y = g(x)

then if n tends to infinity

y =

Abhishek Bandiya

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15 Jan 2012 16:38:14 IST

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sorry that was net error

let y= g(x)

if n tends to infinity

y =

y(1+y)=1

y^2+y -1=0

lim n tends to infinity g(x,n)=f(f(f(................f(x)) upto n times = (-1)/2

yadnyesh patil

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15 Jan 2012 17:28:25 IST

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@abhishek, yeah dats correct approach..!

ferrari

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15 Jan 2012 20:20:00 IST

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ya the correct answer is ((root 5)-1)/2 . -ve is not possible

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