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sportlover36
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how can i find a power series representaion of d/dx (1/x-9)
It looks like you may have some sort of a typo. At x=0, 1/x is infinite.sportlover36 said:how can i find a power series representaion of d/dx (1/x-9)
sportlover36 said:how can i find a power series representaion of d/dx (1/x-9)
A power series representation is a series of terms that can be used to approximate a function. It takes the form of ∑n=0∞ancn, where a is a constant and c is the degree of the term.
To find the power series representation of a function, you need to find the coefficients a and c for each term in the series. This can be done using the Taylor series expansion, which involves taking derivatives of the function at a specific point and plugging them into the formula.
The power series representation of 1/x-9 is ∑n=0∞9^n/x^(n+1). This can be found by using the Taylor series expansion for 1/x-9 at a specific point, such as x=0.
Finding the power series representation of a function allows us to approximate the function and make calculations easier. It also allows us to analyze the behavior of the function and understand its properties.
Power series representations have many applications in mathematics, physics, and engineering. They are commonly used in calculus to approximate functions and solve problems. They are also used in fields such as signal processing, circuit analysis, and statistics.