Find $\lim _ { x \rightarrow 5 } [ g ( x ) - f ( x ) ]$

question 183

Multiple Choice

Find $\lim _ { x \rightarrow 5 } [ g ( x ) - f ( x ) ]$ for $f ( x ) = 3 x ^ { 3 } \text { and } g ( x ) = \frac { \sqrt { x ^ { 2 } + 6 } } { 6 x ^ { 2 } }$ .

• A) \(\frac { \sqrt { 31 } } { 150 } - 375\)
• B) \(\frac { \sqrt { 31 } } { 150 } + 375\)
• C) \(\frac { 1 } { 150 } - 375\)
• D) \(\frac { \sqrt { 31 } } { 375 } - 150\)
• E)limit does not exist

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