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The function AA defined by

A(x)=1+x323+x62356+x9235689+A(x)=1+\frac{x^3}{2 \cdot 3}+\frac{x^6}{2 \cdot 3 \cdot 5 \cdot 6}+\frac{x^9}{2 \cdot 3 \cdot 5 \cdot 6 \cdot 8 \cdot 9}+\cdots

is called an Airy function after the English mathematician and astronomer Sir George Airy (1801-1892).

Graph the first several partial sums on a common screen.


Answered 1 year ago
Answered 1 year ago
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To solve this problem, we first write the first few partial sums explicitly using the sum definition and plot the resulting polynomials in a screen using a graphing calculator.

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