Lim x- 1 x 4 -3 x 3 -2 x 3 -5 x 2 -3x-1

lim_x→ 1x^4 3x^3+2/x^3 5x^2+3x+1 =1 3+2/1 5+3+1=0/0 Apply L. Hospital lim_x→ 14x^3 9x^2/3x^2 10x+3 =4(1) 9(1)/3(1) 10(1)+3 =4 9/6 10= 5/ ...

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Rationalization Method to Remove Indeterminate Form

lim x→ 1 x 4 ...

Question

$lim x \to 1 \frac{x^{4} - 3 x^{3} + 2}{x^{3} - 5 x^{2} + 3 x + 1}$

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Solution

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