00:01
In this problem, we have to determine whether the given function g of x is continuous at x is equal to 8.
00:09
So, first of all, let us determine the limit as x tends to 8 of g of x.
00:16
So we need the limit as x tends to 8 of the function g of x.
00:22
Now, since x tends to 8, that means that x approaches 8, but it is not equal to 8.
00:27
And when x is not equal to 8, the function is given to be equal to x square minus 64 divided by x minus 8.
00:36
So this is the limit we need to determine.
00:40
So we can use the formula, a square minus b square is equal to a minus b times a plus b to write x square minus 64 as x minus 8 times x plus 8 since 8 square is equal to 64.
00:55
And we divide this by x minus 8.
00:57
Now we can reduce this fraction by x minus 8...