Answered

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What is the limit X?

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

#SPJ4

The complete question is:

What is the limit of x/|x| as x approaches 0?

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