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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`

.