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Vedmedyk [2.9K]

2 years ago

8

A one-year membership to metro gym cost $460.There is a fee of $40 when you join and the rest is paid monthly.Write an equation

to represent the situation that can help members find how much they pay per month.

1 answer:

Andrews [41]2 years ago

5 0

40 when you join and the rest is paid monthly.Write an equation to represent the situation that can help members find how much they pay per month

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dybincka [34]

I suppose you mean

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and from here,

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$\displaystyle\lim_{n\to\infty}\left|\frac{(-1)^{n+1}\frac{(n+1)x^{4(n+1)}}{(2(n+1))!}}{(-1)^n\frac{nx^{4n}}{(2n)!}}\right|=|x|\lim_{n\to\infty}\frac{\frac{n+1}{(2n+2)!}}{\frac n{(2n)!}}=|x|\lim_{n\to\infty}\frac{n+1}{n(2n+2)(2n+1)}$

The limit is 0, so any choice of $x$ satisfies the convergence condition.

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