Find the limit if it exists.
-$\mathrm { m } _ { 27 } \mathrm { x } ^ { 2 / 3 }$
A) 9
B) $\frac { 2 } { 3 }$
C) 27
D) 18

Question

Quizplus · Accepted Answer

The expression given is a constant times a power function, $\mathrm { m } _ { 27 } \mathrm { x } ^ { 2 / 3 }$, where $\mathrm { m } _ { 27 }$ is a constant. The limit of a constant times a function is the constant times the limit of the function. Since the limit of $x^{2/3}$ as $x$ approaches any value is just the function itself (because power functions are continuous everywhere they are defined), the limit of the entire expression is simply the constant, which is 9 in this case.

Find the Limit If It Exists m27x2/3\mathrm { m } _ { 27 } \mathrm { x } ^ { 2 / 3 }m27​x2/3

Find the Limit If It Exists $\mathrm { m } _ { 27 } \mathrm { x } ^ { 2 / 3 }$