Left Hand Limit And Right Hand Limit

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 and right hand limit — POWER OF IOTA

Left-hand limit symbolic form:

$Left hand limit symbol$

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:

$Right-hand Limit symbol form$

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 $one sided limit$ , 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.

Limit of a function concept
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Cube root of unity power
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Fourth roots of unity power
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branches of curve of hyperbola
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radicals and radicands
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Addition and multiplication laws of real number
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commutative property of rational number