Is the lim of 7 cot x x→π is Undefined?

2016-02-02 4:35 pm

回答 (2)

2016-02-02 4:40 pm
As you approach π from the left, the limit is -∞.
As you approach π from the right, the limit is ∞.

So this is a two-sided limit and therefore the limit does not exist.
2016-02-02 4:43 pm
lim of x→π 7 cot x
= lim of x→π 7 cos x / sin x

Since lim x - > pi+ 1/sin(x) = -oo
and lim x - > pi- 1/sin(x) = +oo
and cos(pi) = -1
then lim of 7 cot x x→π is Undefined is true


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