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Calculus Maximus WS 1.3: Limits at InfinityName Date Period Worksheet 1.3Limits at Infinity Show all work. No calculator Short Answer: On problems 1 6, find (a) LIM f (x) x (b) LIM f (x) x (c) the

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How to fill out limits at infinity functions

01

Determine the degree of the numerator and denominator of the function.

02

If the degree of the numerator is greater than the degree of the denominator, the limit as x approaches infinity is positive or negative infinity, depending on the leading coefficient of the numerator.

03

If the degree of the denominator is greater than the degree of the numerator, the limit as x approaches infinity is zero.

04

If the degrees are equal, divide both the numerator and denominator by the highest power of x present.

05

The limit as x approaches infinity will be the ratio of the leading coefficients of the simplified numerator and denominator.

Who needs limits at infinity functions?

01

Limits at infinity functions are essential for studying the behavior of functions as they approach infinity or negative infinity. They are used in calculus to determine the end behavior of a function, identify horizontal asymptotes, and evaluate the limit of a function as x approaches infinity.

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What is limits at infinity functions?

Limits at infinity functions are mathematical concepts used to determine the behavior of a function as the input approaches either positive or negative infinity.

Who is required to file limits at infinity functions?

Limits at infinity functions are typically studied by students in calculus courses and are not required to be filed by individuals or organizations.

How to fill out limits at infinity functions?

Limits at infinity functions are filled out by evaluating the function as the input approaches infinity or negative infinity to determine the limit value.

What is the purpose of limits at infinity functions?

The purpose of limits at infinity functions is to understand the behavior of a function as the input values become very large or very small.

What information must be reported on limits at infinity functions?

The information reported on limits at infinity functions includes the function itself and the limit value as the input approaches infinity or negative infinity.

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