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Sagot :
The limit of x/|x| as x approaches 0 does not exists.
We need to find the limit of x/|x| as x approaches 0.
Consider left hand limit.
lim x -> 0- (x/|x|)
x/|x| = -1 for all negative values of x.
So, lim x -> 0- (x/|x|) = -1
Consider right hand limit.
lim x -> 0+ (x/|x|)
x/|x| = 1 for all positive values of x.
So, lim x -> 0+ (x/|x|) = 1
lim x -> 0- (x/|x|) ≠ lim x -> 0+ (x/|x|)
Therefore, the limit of x/|x| does not exists.
Learn more about the limit here:
brainly.com/question/7446469
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The complete question is:
What is the limit of x/|x| as x approaches 0?
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