Question #f2dfc
1 Answer
Dec 7, 2017
See the following:
Explanation:
-
When x tends to 2 from left, we can see that it keep vibrate. Therefore, we cannot define the limit when it tends to 2 from the left that the limit DO NOT EXIST.
-
When x tends to 2 from right,
f(x) tends to 1. Althoughf(2) is not exist, the limit equals to 1. -
lim_(x->a) f(x) exist whenlim_(x->a^+) f(x)=lim_(x->a^-) f(x)
Aslim_(x->2^-) f(x) do not exist,lim_(x->2) f(x) do not exist. -
When x tends to 0 from left,
lim_(x->0-) f(x)=-1
When x tends to 0 from right,lim_(x->0+) f(x)=-1
lim_(x->0^+) f(x)=lim_(x->0^-) f(x)=lim_(x->0) f(x)=-1 -
When
x=0 , we cannot see a point on the graph. Therefore, it DO NOT EXIST.