6
QuizMultiple Choice

Finding Limits — Quiz

Question 6 • Precalculus

Given f of x equals inequality x squared minus one third x comma for x is not equal to negative 1 inequality negative 1 comma for x equals negative 1 What is the limit? limit x to negative 1 of f times x

Answer
A
5 thirds
B
negative 5 thirds
C
negative 4 thirds
D
4 thirds

Explanation

For values of x near −1 (but not equal to −1), use the rule f(x) = x² − ⅓x. Substituting −1 into this polynomial gives (−1)² − ⅓(−1) = 1 + ⅓ = 4/3, so the limit is 4/3, choice D. The separately defined value f(−1) = −1 does not affect the limit.

AI-written and checked against the verified answer.

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