I'm having trouble finding the coefficients for the maclaurin series for . i have
. Is this right?
By differentiation ,
Observation is a good tool to conclude that
( Isolate the first )
Therefore ,
But if we " fill up " the spaces between the odd numbers ,
we will find that
is also equal to :
When accompanying with to form the coefficient for the Maclaurin series , we can obtain an elegant expression .