Find the following limit. Is the function continuous at the point being approached?
\lim_(t->0)cos((\pi )/(\sqrt(21-5cost)))
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A.
\lim_(t->0)cos((\pi )/(\sqrt(21-5cost)))=
, and it equals the value of function at zero, so the function is continuous at
t=0
. (Type an exact answer, using radicals as needed.) B.
\lim_(t->0)cos((\pi )/(\sqrt(21-5cost)))=
but it does not equal the value of the function at zero, so the function is not continuous at
t=0
. (Type an exact answer, using radicals as needed.) C. The limit does not exist, so the function is not continuous at
t=0
.