Question 1209180: The function: f(x) = |sin(x) - 1| / (sin(x) - 1)
can be redefined to make it continuous at x= pi/2
Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website! .
As I read your post, it is unclear to me, is it a statement or a question.
But, taking into account, that half of the posts at this forum are mathematically
and grammatically incorrect and require to be fixed,
I will assume that it is a question of the type "True or False".
The given function is identically equal to -1 everywhere in vicinity of x = pi/2
and is not defined at x = pi/2.
Therefore, if to define it as -1 at x= pi/2, you will get a continuous function at x= pi/2.
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