Solve \lim _ { x \rightarrow 2 } \frac { x ^ { 4 } -

Evaluate

x \to 2 lim (\frac{x ^{4} - 4 x ^{3} + 5 x ^{2} - 4 x + 4}{x ^{4} - 4 x ^{3} + 6 x ^{2} - 8 x + 8})

Reduce the fraction

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x \to 2 lim (\frac{x ^{2} + 1}{x ^{2} + 2})

Rewrite the expression

\frac{lim _{x \to 2} ( x ^{2} + 1 )}{lim _{x \to 2} ( x ^{2} + 2 )}

Evaluate

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\frac{5}{lim _{x \to 2} ( x ^{2} + 2 )}

Solution

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\frac{5}{6}

Alternative Form

0.8 \dot{3}