Evaluate the Limit, If It Exists $\lim _ { x \rightarrow 2 } \left( 5 x ^ { 3 } - 3 x ^ { 2 } + 4 \right)$

question 73

Essay

Evaluate the limit, if it exists. If it does not exist, explain why.(a) $\lim _ { x \rightarrow 2 } \left( 5 x ^ { 3 } - 3 x ^ { 2 } + 4 \right)$ (b) $\lim _ { x \rightarrow 9 } \frac { x - 9 } { \sqrt { x } - 3 }$ (c) $\lim _ { x \rightarrow - 1 } \frac { x ^ { 4 } - 1 } { x ^ { 2 } - 1 }$ (d) $\lim _ { x \rightarrow 3 } \frac { \frac { 2 } { x } - \frac { 2 } { 3 } } { x - 3 }$ (e) $\lim _ { x \rightarrow - 3 } \frac { | x + 3 | } { 2 x + 6 }$ (f) $\lim _ { x \rightarrow - 3 ^ { - } } \frac { | x + 3 | } { 2 x + 6 }$

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