An infinite sequence of digits is obtain...

An infinite sequence of digits is obtained by writing the natural numbers in order `123456789101112......` Define `f(n)=m`, if the `10^(th)` digit forms part of an m digit number. eg. `f(2)=2` because `100^(th)` digit is 55 & it's a two digit number. The value of `f(1987)` is

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An infinite sequence of digits is obtained by writing the natural numbers in order `123456789101112......` Define `f(n)=m`, if the `10^(th)` digit forms part of an m digit number. eg. `f(2)=2` because `100^(th)` digit is 55 & it's a two digit number. The value of `f(1987)` is

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