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let f(x)=x belongs to R+

THEN COMPLETE SET OF VALUES FOR WHICH f(x)<=lnx is

ans (0,1)

In a structure to check resonance is there or not

how to check that octet of every element is complete or not?

and how to check for vacant orbitals (since it is one of the conditions that for resonance to occur lone pair should be alternate to vacant orbital)

plz explain with example....

If f(x) is a continuous function in [0,1] and range of f(x) is [0,1] for all x belonging to [0,1] prove that there must exist c in [0,1] such that f(c) =c