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For all x in (0,1) (a)e^x<1+x (b) (...

For all `x in (0,1)`
(a)`e^x<1+x`
(b) `(log)_e (x+1) < x`
(c)`sinx>x`
(d) `(log)_e x > x`

A

constant

B

1+x

C

x

D

None of these

Text Solution

Verified by Experts

Given that, `f:[0,1] to [0, 1]` be defined by
`f(x)={(x,"if x is rational"),(1-x,"if x is irrational"):}`
` :. (fof)x=f(f(x))=x`
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