$\lim _{x \rightarrow-4} \frac{x^{3}+64}{x+4}$
(a) Explain why direct substitution cannot be used to find the limit
(b) Find the limit algebraically, if it exists.

Question

$\lim _{x \rightarrow-4} \frac{x^{3}+64}{x+4}$ (A) Explain Why Direct Substitution Cannot Be Used to Find

Examlex · Accepted Answer

The Answer is (a)

\frac{x^{3}+64}{x+4}

is not defined at x=-4 .
(b) 48

lim⁡x→−4x3+64x+4\lim _{x \rightarrow-4} \frac{x^{3}+64}{x+4}limx→−4​x+4x3+64​ (A) Explain Why Direct Substitution Cannot Be Used to Find