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Let f(1)(x) = x/(x+1) AA x in R^(+), se ...

Let `f_(1)(x) = x/(x+1) AA x in R^(+)`, se of positive real numbers, For `k ge 2`, define
`f_(k)(x) = f_(k-1)(f_(1)(x)) AA x in R^(+)`
Then `f_(2020)(1/2020)` is equal to

A

`1/(4040)`

B

`1/(2020)`

C

`1/(4041)`

D

`1/(2021)`

Text Solution

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The correct Answer is:
A
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MCGROW HILL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-EXERCISE ( LEVEL 2 (SINGLE CORRECT ANSWER TYPE QUESTIONS ))
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