Which of the following is true for the limit of the function , where indicates the modulus function of the referred number?
LHL exist but RHL does not exist
RHL exist but LHL does not exist
The limit does not exist.
Both RHL and LHL exist and equals to 1
The Right Hand Limit (RHL) of the function at is .
The Left Hand Limit (LHL) of the function at is .
Here, h is positive and infinitely small.
The limit exists only when
The Modulus Function indicates the absolute value denoted mathematically as , for any mathematical values. This function gives the non-negative value of any negative value or the absolute value, and the non-positive value of any positive value or the absolute value.
As h is positive and infinitely small,
The Left Hand limit of the function
The right Hand limit of the function
As , the limit does not exist.
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