**Left-hand limit and right-hand limit**:

**Left-hand limit:**

The limit of **f(x)** is equal to** L** As x approaches** c** from the left, That is for all **x** sufficiently close to** c**, but less than c, The value of **f(x)** can be made as close we please to **L**.

**x approaches to infinity means**

**Left-hand limit symbolic form:**

**Right-hand limit:**

The Limit of the** f(x)** is equal to** M** as x approaches to c from the right, that is for all** x** sufficiently close to **c**, the value of **f(x)** can be made as close we please to **M.**

**Right-hand limit symbolic form:**

**Rule of left-hand limit and right-hand limit:**

The rule of calculating the Negative-hand Limit and positive-hand Limit are the same

**One-sided Limit**:

In defining , We restricted x to an open interval containing c that is we studied the behavior of f on both side of c. However, in some cases it is necessary to investigate one-sided limit, Negative-hand Limit and Positive-hand Limit. We have already described.

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