00:01
In this problem, we need to prove two given statements.
00:04
Now the first statement that we need to prove is the statement, limit t tends to c of sec t is equal to sec c.
00:14
Now, for that, let us write this as the limit as t tends to c of 1 divided by cost t, because sec t is equal to 1 by cost t.
00:25
Now using the quotient property of limits, this will be equal to the limit as t tends to c of 1, divided by the limit as t tends to c of cost t.
00:37
Now one is a constant, so the limit in the numerator will be equal to 1, and the limit in the denominator is known to be equal to cost c, and 1 by cost c is equal to sec c.
00:51
Hence, we have shown that the limit as t tends to c of sec p is equal to sec c...