Question #f2dfc
1 Answer
Dec 7, 2017
See the following:
Explanation:
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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.
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When x tends to 2 from right,
#f(x)# tends to 1. Although#f(2)# is not exist, the limit equals to 1. -
#lim_(x->a) f(x)# exist when#lim_(x->a^+) f(x)=lim_(x->a^-) f(x)#
As#lim_(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.
