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# Average Value of Continuous Functions and Limits

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The definition of average value of a continuous function can be extended to an infinite interval by defining the average value of f on the interval [a, &#8734;) to be

Lim as t approaches &#8734; 1/(t-a)integrand from a to t f(x)dx

1. Find the average value of {see attachment} on [0, &#8734;).
2. Find the lim as x goes to infinity {see attachment}
3. If f(x) &#8805; 0, and integrand from a to infinity f(x)dx, if this limit exists.
4. Explain what number 3 has to do with the original problem.

https://brainmass.com/math/real-analysis/average-value-continuous-functions-limits-37285

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The definition of average value of a continuous function can be extended to an infinite interval by defining the average value of f on the interval ...

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Average Value of Continuous Functions and Limits are investigated. The solution is detailed and well presented.

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