\"\"

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The function is \"\".

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If a limit exist, then  the left hand limit and right hand limit always equal.

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The left hand side limit is \"\".

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Consider the table near left side of \"\".

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\"\"\"\"\"\"\"\"\"
\"\"\"\"\"\"\"\"\"\"
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As \"\" tends to \"\" from the left hand side, then the limit approaches to \"\".\"\".

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The right hand side limit is \"\".

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Consider the table near right side of \"\".

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\"\"\"\"\"\"\"\"\"
\"\"\"\"\"\"\"\" \

\"\"

\
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As \"\" tends to \"\" from the right hand side, then the limit approaches to \"\".

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\"\".

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\"\".

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The right hand side limit is not equal to left hand side limit.

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The limit does not exist.

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\"\"

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The limit does not exist.