Answer
$1$
Work Step by Step
$\lim _{x\rightarrow -1}\left( 3x^{4}-2x^{3}+4x\right) =3\times \left( -1\right) ^{4}-2\times \left( -1\right) ^{3}+4\times \left( -1\right) =3\times 1-2\times \left( -1\right) +\left( -4\right) =5-4=1$
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