Limit help limit of fractional part function power

Thread starter foxofdesert
Start date Feb 24, 2012
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fractional Function Limit Power

In summary, the limit of the fractional part function power as the power approaches infinity is 0. This can be found using the rule that the limit of a function raised to a power is equal to the limit of the function raised to that power. The significance of this limit lies in its ability to help us understand the behavior of the function and other functions involving fractional parts and powers. The limit cannot be negative, as the fractional part function always returns a value between 0 and 1. This makes the limit of a fractional part function power unique, as it always approaches 0 unlike other limits where the value can approach any number.

Feb 24, 2012

foxofdesert

solved.

Last edited: Feb 25, 2012

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Feb 25, 2012

Office_Shredder

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It's also true if you substitute sqrt(5)+sqrt(7) or sqrt(3)+sqrt(5) or sqrt(13)+sqrt(11). I tried sqrt(3)+sqrt(11) and it doesn't seem to be true for that guy, so it's hard to tell but it seems like there should be a general proof that doesn't rely on adding up multiples of sqrt(6) and watching stuff cancel out. I can't fathom what it is though

1. What is the limit of the fractional part function power as the power approaches infinity?

The limit of the fractional part function power as the power approaches infinity is 0. This means that as the power gets larger and larger, the value of the function gets closer and closer to 0.

2. How do you find the limit of a fractional part function power?

To find the limit of a fractional part function power, you can use the rule that the limit of a function raised to a power is equal to the limit of the function raised to that power. In this case, the power is the fractional part function, so you can simply evaluate the limit of the fractional part function itself.

3. What is the significance of the limit of a fractional part function power?

The limit of a fractional part function power can help us understand the behavior of the function as the power gets larger. It can also help us determine the behavior of other functions that involve fractional parts and powers.

4. Can the limit of a fractional part function power be negative?

No, the limit of a fractional part function power cannot be negative. The fractional part function always returns a value between 0 and 1, so when raised to a power, the limit will always approach 0.

5. How does the limit of a fractional part function power differ from other limits?

The limit of a fractional part function power is different because it involves a function that returns values between 0 and 1. This means that the limit will always approach 0, unlike other limits where the value can approach any number.