Explain why the limit does not exist. Select the correct choice below and fill in the answer boxes within your choice.

A$.$

As x approaches $0$ from the$$ left,

StartFraction x Over StartAbsoluteValue x EndAbsoluteValue EndFractionxx

approaches

enter your response here.

As x approaches $0$ from the$$ right,

StartFraction x Over StartAbsoluteValue x EndAbsoluteValue EndFractionxx

approaches

enter your response here.

This means there is no single number L that the function values get arbitrarily close to as x right arrow $0.$x$0.$

B$.$

The function is not defined at

xequals$=0,$

so the limit cannot exist.