Find
$$\lim _ { x \rightarrow 3 } [ g ( x ) - f ( x ) ]$$
for $f ( x ) = 4 x ^ { 3 }$ and $g ( x ) = \frac { \sqrt { x ^ { 2 } + 9 } } { 5 x ^ { 2 } }$.
A) $\frac { \sqrt { 2 } } { 15 } - 108$
B) $\frac { \sqrt { 10 } } { 5 } - 108$
C) $\frac { 36 \sqrt { 2 } } { 5 }$
D) $\frac { \sqrt { 10 } } { 5 } + 108$
E) limit does not exist

Question

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The Answer of Find
$$\lim _ { x \rightarrow 3 } [ g ( x ) - f ( x ) ]$$
for $f ( x ) = 4 x ^ { 3 }$ and $g ( x ) = \frac { \sqrt { x ^ { 2 } + 9 } } { 5 x ^ { 2 } }$.
A) $\frac { \sqrt { 2 } } { 15 } - 108$
B) $\frac { \sqrt { 10 } } { 5 } - 108$
C) $\frac { 36 \sqrt { 2 } } { 5 }$
D) $\frac { \sqrt { 10 } } { 5 } + 108$
E) limit does not exist

Find lim⁡x→3[g(x)−f(x)]\lim _ { x \rightarrow 3 } [ g ( x ) - f ( x ) ]x→3lim​[g(x)−f(x)]

Find $\lim _ { x \rightarrow 3 } [ g ( x ) - f ( x ) ]$