is it 0/0 ? or infinity or undefined??
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When x < 0, then |x| = −x
lim[x→0⁻] |x|/x = lim[x→0⁻] −x/x = lim[x→0⁻] −1 = −1
When x > 0, then |x| = x
lim[x→0⁺] |x|/x = lim[x→0⁺] x/x = lim[x→0⁺] 1 = 1
Since left-sided limit and right-sided limits are not equal,
then lim[x→0] |x|/x does not exist
lim[x→0⁻] |x|/x = lim[x→0⁻] −x/x = lim[x→0⁻] −1 = −1
When x > 0, then |x| = x
lim[x→0⁺] |x|/x = lim[x→0⁺] x/x = lim[x→0⁺] 1 = 1
Since left-sided limit and right-sided limits are not equal,
then lim[x→0] |x|/x does not exist
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It doesn't exist since it approaches -1 from the left and 1 from the right
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keywords: this,Confused,with,limit,Confused with this limit?