Question Detail

MTH 102 Limits Objective Question

Question

When evaluating a limit as \( x \) approaches infinity for a rational function, what is the standard first step?
Options
A Multiply by the conjugate.
B Factorise the numerator into linear terms.
C Divide numerator and denominator by the highest power of \( x \).
Correct Answer
D Substitute infinity directly into \( x \).
Correct Answer

Option C is the correct answer.

Detailed Explanation

Dividing by the highest power allows the function to be expressed in terms of ( \frac{1}{x} ), which approaches zero at infinity.

Hint

Example 8 solution method.

Question Info