Fundamental Mathematics/Calculus/Limit

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Limit[edit | edit source]

Finite Limit We call the limit of as approaches if becomes arbitrarily close to whenever is sufficiently close (and not equal) to .

When this holds we write

or


Infinite Limit We call the limit of as approaches infinity if becomes arbitrarily close to whenever is sufficiently large.

When this holds we write

or

Similarly, we call the limit of as approaches negative infinity if becomes arbitrarily close to whenever is sufficiently negative.

When this holds we write

or