Let c be the Champernowne's constant,
Show, without calculator aid, that
sin(c) + cos(c) + tan(c) > 10c
The ">" sign results from ignoring the higher powers
in the Taylor's series
d is a positive value ,slightly less than .008
let us see how this value is affected by subtracting .008 i.e. subtracting more than needed
so sin(c)+cos(c)+ tan(c)>1+2c-d>10c
sin(c)+cos(c)+ tan(c)> 10c
The above text was corrected and edited following a grave error
spotted by Charlie and broll.
Thanks, guys !
Edited on December 13, 2014, 10:46 am