9
QuizMultiple Choice

Finding Limits — Quiz

Question 9 • Precalculus

Given f of x equals inequality 3 the square root of 2 x minus 1 for x is less than or equal to 2 inequality 6 times open parenthesis 2 x minus 1 close parenthesis squared minus 3 comma for x is greater than 2 What is the limit? limit x to 2 raised to the plus power of f times x

Answer
A
36
B
3 square root of 5
C
51
D
3 square root of 3

Explanation

For the limit as x approaches 2 from the right, use the piece of the function defined for x > 2: 6(2x − 1)² − 3. Substituting x = 2 gives 6(3)² − 3 = 54 − 3 = 51. Therefore, the limit is 51, choice C.

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