This function is defined on
and is periodic with period equal to
; therefore we can study it on
.
Because of the periodicity, the function
has no limit at
. Moreover, there is no other open endpoint of the domain and the function is continuous on
, therefore we have no limit to compute.
The function is given by a trigonometric polynomial, thus it is differentiable on
, whence on
.
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Noah Dana-Picard 2007-12-28