To evaluate the limit of the function as x approaches infinity, we can use the rule of thumb that says: for a rational function (a ratio of two polynomials), the limit as x approaches infinity is determined by the highest powers of x in the numerator and the denominator.

Here, the highest power of x in the numerator is 3 (from the term x^3) and in the denominator is 4 (from the term 25x^4).

Since the highest power of x is greater in the denominator than in the numerator, the limit of the function as x approaches infinity is 0.

So, lim (x→∞) (x^3 + 25) / (x^4 + 5) = 0.

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To evaluate the limit of the function as x approaches infinity, we can use the rule of thumb that says: for a rational function (a ratio of two polynomials), the limit as x approaches infinity is determined by the highest powers of x in the numerator and the denominator.

Here, the highest power of x in the numerator is 3 (from the term x^3) and in the denominator is 4 (from the term 25x^4).

Since the highest power of x is greater in the denominator than in the numerator, the limit of the function as x approaches infinity is 0.

So, lim (x→∞) (x^3 + 25) / (x^4 + 5) = 0.

Knowee AI · Accepted Answer

To evaluate the limit of the function as x approaches infinity, we can use the rule of thumb that says: for a rational function (a ratio of two polynomials), the limit as x approaches infinity is determined by the highest powers of x in the numerator and the denominator.

Here, the highest power of x in the numerator is 3 (from the term x^3) and in the denominator is 4 (from the term 25x^4).

Since the highest power of x is greater in the denominator than in the numerator, the limit of the function as x approaches infinity is 0.

So, lim (x→∞) (x^3 + 25) / (x^4 + 5) = 0.

Evaluate the following limit, writing your answer as either a number or using inf for ∞ if needed.lim𝑥→∞𝑥3+25𝑥4+5=

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