Find the limit algebraically.
-$$\lim _ { x \rightarrow 4 } \left( 4 x ^ { 3 } - 2 x + 123 \right) ^ { 2 / 3 }$$
A) $- 125$
B) $- 5$
C) 125
D) 25

Name: Find the limit algebraically. -\[\lim _ { x \rightarrow 4 } \left( 4 x ^ { 3 } - 2 x + 123 \right) ^ { 2 / 3 }\] A) $- 125$ B) $- 5$ C) 125 D) 25
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Question

Quizplus · Accepted Answer

To find the limit, substitute $ x = 4 $ into the expression: $(4(4)^3 - 2(4) + 123)^{2/3}$. This simplifies to $(256 - 8 + 123)^{2/3} = (371)^{2/3}$. Calculating $371^{2/3}$ gives approximately 25.

Find the Limit Algebraically lim⁡x→4(4x3−2x+123)2/3\lim _ { x \rightarrow 4 } \left( 4 x ^ { 3 } - 2 x + 123 \right) ^ { 2 / 3 }x→4lim​(4x3−2x+123)2/3

Find the Limit Algebraically $\lim _ { x \rightarrow 4 } \left( 4 x ^ { 3 } - 2 x + 123 \right) ^ { 2 / 3 }$