10
QuizMultiple Choice

Finding Limits — Quiz

Question 10 • Precalculus

Given limit x to c of f times x is equal to negative 4 and limit x to c of g times x is equal to 1 fifth What is the limit? limit x to c of open bracket g of x over f of x close bracket

Answer
A
negative 4 fifths
B
negative 20 over 1
C
negative 5 fourths
D
negative 1 over 20

Explanation

By the quotient law for limits, the limit of g(x)/f(x) is the limit of g(x) divided by the limit of f(x), since the latter is not zero. Thus (1/5)/(-4) = -1/20, which is choice D, negative 1 over 20.

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