Find the limit by direct substitution. $\lim _ { x \rightarrow 4 } \left( 11 - x ^ { 2 } \right)$
A) $\lim _ { x \rightarrow 4 } \left( 11 - x ^ { 2 } \right)$ = $\infty$
B) $\lim _ { x \rightarrow 4 } \left( 11 - x ^ { 2 } \right)$ = 15
C) $\lim _ { x \rightarrow 4 } \left( 11 - x ^ { 2 } \right)$ = 7
D) $\lim _ { x \rightarrow 4 } \left( 11 - x ^ { 2 } \right)$ = 27
E) $\lim _ { x \rightarrow 4 } \left( 11 - x ^ { 2 } \right)$ = -5

Question

Find the limit by direct substitution.   $\lim _ { x \rightarrow 4 } \left( 11 - x ^ { 2 } \right)$  
A) $\lim _ { x \rightarrow 4 } \left( 11 - x ^ { 2 } \right)$ =  $\infty$
B) $\lim _ { x \rightarrow 4 } \left( 11 - x ^ { 2 } \right)$ = 15
C) $\lim _ { x \rightarrow 4 } \left( 11 - x ^ { 2 } \right)$ = 7
D) $\lim _ { x \rightarrow 4 } \left( 11 - x ^ { 2 } \right)$ = 27
E) $\lim _ { x \rightarrow 4 } \left( 11 - x ^ { 2 } \right)$ = -5

Quizplus · Accepted Answer

Substituting $x = 4$ directly into the expression gives $11 - 4^2 = 11 - 16 = -5$.

Find the Limit by Direct Substitution lim⁡x→4(11−x2)\lim _ { x \rightarrow 4 } \left( 11 - x ^ { 2 } \right)limx→4​(11−x2)

Find the Limit by Direct Substitution $\lim _ { x \rightarrow 4 } \left( 11 - x ^ { 2 } \right)$