Let f(x) = (3)/(4) x+1 . f^(n) (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

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 center at the origin.

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The correct Answer is:

A, C, D

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