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The statement that correctly uses limits to determine the end behavior of f(x) is;

so the end behavior of the function is that as x → ±∞, f(x) → 0

Step-by-step explanation:

The given function is presented here as follows;

The limit of the function is presented as follows;

Dividing the terms by x², we have;

As 'x' tends to ±∞, we have;

However, we have that the end behavior of 7/x² as 'x' tends to ±∞ is 7/x² tends to 0;

Therefore, we have;

The statement that correctly uses limits to determine the end behavior of f(x) is therefor given as follows;

so the end behavior of the function is that as x → ±∞, f(x) → 0.

step-by-step explanation: