Find the limit. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not otherwise exist, enter DNE.)lim x→−∞ 1 + 16x65 − x3

To find the limit of the function as x approaches negative infinity, we need to look at the highest degree term in the denominator and numerator.

The function is 1 + 16x/(65 - x^3).

The highest degree term in the numerator is 16x and in the denominator is -x^3.

As x approaches negative infinity, the terms with the highest degree in the numerator and denominator will dominate the function.

Therefore, we can simplify the function to -16x/x^3 = -16/x^2.

Now, as x approaches negative infinity, -16/x^2 will approach 0.

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