Is the lim of 7 cot x x→π is Undefined?
回答 (2)
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.
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
收錄日期: 2021-04-21 16:38:31
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