Let c be the Champernowne's constant,
or c=0.123456789101112131415161718192021....
Show, without calculator aid, that
sin(c) + cos(c) + tan(c) > 10c
(In reply to
solution by Ady TZIDON)
How is sin(c) > c ? The next term in the Taylor series is negative.
You could make the same argument about x=.1241; you'd say q.e.d. but the inequality would be false.
Edited on December 12, 2014, 7:53 am

Posted by Charlie
on 20141212 07:45:30 