Processor Speeds The processor speeds, in megahertz (MHz), of Intel processors during the period 1996–2010 can be approximated by the following function of time t in years since the start of 1990:
and , and interpret each answer. [HINT: See Example 3.]
b. Is the function v continuous at ? According to the model, was there any abrupt change in processor speeds during the period 1996–2010?
To calculate: The limits and , if the speed of processor during the period is provided as function of time as and also interpret the answer.
The speed of processor, in megahertz (MHz) during the period is approximated as function of time as
Continuity of closed form function theorem:
Every function that is closed is continuous on its domain.
If exists and is defined, then
Consider the function .
Consider the right limit:
The closed-form function exists when
Whether the function is continuous or not at and whether there was any abrupt change in speed of processor during .
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