1. 03:43

from David Liao Added 14 0 0

The average of a sum is the sum of the averages. The average of a constant multiplied against a function is the constant multiplied by the average of the function. The average of a constant is the…

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• 05:33

from David Liao Added 13 0 0

The variance of a function is the average of the square of the function. For the purposes of theoretic calculations, it might be useful to express the variance using the "inside-out" computation…

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• 07:00

from David Liao Added 65 0 0

In this video, the outline for using the epsilon-delta definition to prove that the limit of a function has a particular value y = L at x = a has two main parts. First, we determine what range of…

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• 02:40

from David Liao Added 22 0 0

An example of a situation in which a function can fail to have a limit at a value of x = a is when the function jumps discontinuously in height at that value of x. One example of a situation in which…

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• 03:32

from David Liao Added 20 0 0

When we say that a function has an infinite limit "at" infinity, we mean that as x becomes arbitrarily large, the function becomes arbitrarily large.

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• 03:30

from David Liao Added 21 0 0

When we say that a function has a limit of L "at" infinity, we mean that as x becomes arbitrarily large, the function becomes arbitrarily close to L.

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• 03:58

from David Liao Added 19 0 0

When we say that the limit of a function at a value of x = a is infinity, we mean that as x becomes arbitrarily close to a, the value of the function becomes arbitrarily large.

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• 01:02

from Ursuline College Added 121 0 0

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• 13:38

from Eric Cornwell Added 2,298 2 0

One of several films produced by Bruce and Katharine Cornwell for the Mathematical Association of America in the mid-1960s addressing topics in calculus. This film explores the mean value, and Rolle's…

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• 09:58

from Eric Cornwell Added 177 1 0

One of several films produced by Bruce and Katharine Cornwell for the Mathematical Association of America in the mid-1960s addressing topics in calculus. This film explores the concept of limits.…

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