Home
Class 12
MATHS
Let f(x)=3/4x+1,f^n(x) be defined as f^2...

Let `f(x)=3/4x+1,f^n(x)` be defined as `f^2(x)=f(f(x))`, and for `ngeq2,f^(n+1)(x)=f(f^n(x))`. If `lambda=(lim)_(nrarroo)f^n(x)` , then (a)`lambda` is independent of `x` (b)`lambda` is a linear polynomial in `x` (c)the line `y=lambda` has slope `0.` (d)the line `4y=lambda` touches the unit circle with centre at the origin.

Promotional Banner

Similar Questions

Explore conceptually related problems

Let f(x)=(3)/(4)x+1,f^(n)(x) be defined as f^(2)(x)=f(f(x)), and for n ge 2, f^(n+1)(x)=f(f^(n)(x))." If " lambda =lim_(n to oo) f^(n)(x), then

Let f(x)=(3)/(4)x+1,f^(n)(x) be defined as f^(2)(x)=f(f(x)), and for n>=2,f^(n+1)(x)=f(f^(n)(x)). If lambda=(lim)_(n rarr oo)f^(n)(x), then (a)lambda is independent of x( b) lambda is a linear polynomial in 4y=lambda touches the unit circle 0. (d)the line 4y=lambda touches the unit circle with centre at the origin.

Let f(x)=(3)/(4)x+1,f^(n)(x) be defined as f^(2)(x)=f(f(x)), and for n ge 2, f^(n+1)(x)=f(f^(n)(x))." If " lambda =underset (n to oo)(lim)f^(n)(x), then show that λ is independant of x.

Let f(x) = (3)/(4) x+1 . f^(n) (x) be defined as f^(2) (x)= f(f(x)), and " for " n ge 2 f^(n+1) (x) = f(f^(n) (x)) ." if" lambda underset( n to infty ) Lim f^(n) (x) . then

Letf(x)={x+lambda,x =1 if lim_(x rarr1)f(x) exist,then find value of lambda

Let f(x)=(1)/(1+x) and let g(x,n)=f(f(f(….(x)))) , then lim_(nrarroo)g(x, n) at x = 1 is

Let f(x)=(1)/(1+x) and let g(x,n)=f(f(f(….(x)))) , then lim_(nrarroo)g(x, n) at x = 1 is

If f(x)=x+(1)/(x) , such that f^3 (x)=f(x^(3))+lambdaf((1)/(x)) , then lambda=

If f(x)=x+(1)/(x) , such that f^3 (x)=f(x^(3))+lambdaf((1)/(x)) , then lambda=