Answer
$2$
Work Step by Step
Recall:
$\lim _{x\rightarrow a}p\left( x\right) =p\left( a\right)$
Thus,
$\lim _{x\rightarrow -1}\left( 8x^{5}-7x^{3}+8x^{2}+x-4\right)
\\=8\times \left( -1\right) ^{5}-7\times \left( -1\right) ^{3}+8\times \left( -1\right) ^{2}+\left( -1\right) -4
\\=8 \times (-1) -7 \times (-1) + 8 \times 1 -1-4
\\=-8-(-7)+8-5
\\=-8+7+3
\\=-1+3
\\=2$
