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Find the limit. (If the limit is infinite, enter 'o' or '-o', as appropriate. If the limit does not otherwise exist, enter DNE.) lim (-3 /4х + 9).

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Final answer:

To find the limit of the given function as x approaches infinity, substitute infinity into the function and simplify. The limit is 0.

Step-by-step explanation:

To find the limit of a function, we substitute the given value into the function and simplify as much as possible. In this case, we want to find the limit of -3/(4x + 9) as x approaches a certain value. Let's say we want to find the limit as x approaches infinity. We substitute infinity into the function and simplify:

lim (-3/(4x + 9)) as x->∞ = -3/(4∞ + 9) = -3/(∞ + 9) = -3/∞ = 0.

So, the limit of the function as x approaches infinity is 0.