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(Solved): Find the following limit. Is the function continuous at the point being approached? \lim_(t->0)co ...



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

.



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