Question Detail

MTH 102 Limits Objective Question

Take CBT

Why can the limit of \( \frac{x(x+1)}{x} \) as \( x \) tends to 0 not be evaluated directly by substitution?

A The numerator becomes 1.

B The denominator becomes 1.

C It results in the indeterminate form \(\frac{0}{0}\).

Correct Answer

D The function is a polynomial.

Option C is the correct answer.

Directly substituting ( x = 0 ) into ( \frac{x(x+1)}{x} ) results in ( \frac{0}{0} ), which must be avoided.

Example 2 logic.

Course: MTH 102

Topic: Limits

Type: Objective

Difficulty: Not specified