Find $\lim _ { x \rightarrow 6 } \frac { x - 2 } { x ^ { 2 } + 15 x + 54 }$ by direct substitution.
A)180
B) $\frac { 1 } { 45 }$
C)0
D) $\infty$
E)limit does not exist

Name: Find $\lim _ { x \rightarrow 6 } \frac { x - 2 } { x ^ { 2 } + 15 x + 54 }$ by direct substitution. A)180 B) $\frac { 1 } { 45 }$ C)0 D) $\infty$ E)limit does not exist
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Quizplus · Accepted Answer

By directly substituting $x = 6$ into the given expression, we get $\frac{6 - 2}{6^2 + 15 \cdot 6 + 54} = \frac{4}{36 + 90 + 54} = \frac{4}{180} = \frac{1}{45}$.

Find lim⁡x→6x−2x2+15x+54\lim _ { x \rightarrow 6 } \frac { x - 2 } { x ^ { 2 } + 15 x + 54 }limx→6​x2+15x+54x−2​

Find $\lim _ { x \rightarrow 6 } \frac { x - 2 } { x ^ { 2 } + 15 x + 54 }$