Question : lim _ x goes to 2 frac x ^ { 4 - 4 x ^ 3 + 5 x ^ 2 - 4 x + 4 } x ^ { 4 - 4 x ^ 3 + 6 x ^ 2 - 8 x + 8 } = Evaluate the limit Evaluate using transformations Evaluate using L'Hopital's rule 65Alternative Form 0.83˙ Evaluate x→2lim(x4−4x3+6x2−8x+8x4−4x3+5x2−4x+4)Reduce the fraction More Steps Evaluate x4−4x3+6x2−8x+8x4−4x3+5x2−4x+4Rewrite the expression (x−2)2(x2+2)(x−2)2(x2+1)Reduce the fraction x2+2x2+1 x→2lim(x2+2x2+1)Rewrite the expression limx→2(x2+2)limx→2(x2+1)Evaluate More Steps Evaluate x→2lim(x2+1)Rewrite the expression x→2lim(x2)+x→2lim(1)Calculate More Steps Evaluate x→2lim(x2)Rewrite the expression (x→2lim(x))2Calculate 22Calculate 4 4+x→2lim(1)Calculate 4+1Calculate 5 limx→2(x2+2)5Solution More Steps Evaluate x→2lim(x2+2)Rewrite the expression x→2lim(x2)+x→2lim(2)Calculate More Steps Evaluate x→2lim(x2)Rewrite the expression (x→2lim(x))2Calculate 22Calculate 4 4+x→2lim(2)Calculate 4+2Calculate 6 65Alternative Form 0.83˙ Show Solution