. (a) Find the error in the following calculation:limx1x3 x2 + x 1x3 x2 = limx13x2 2x +
Chapter 3, Problem 47(choose chapter or problem)
(a) Find the error in the following calculation:
\(\lim _{x \rightarrow 1} \frac{x^{3}-x^{2}+x-1}{x^{3}-x^{2}}=\lim _{x \rightarrow 1} \frac{3 x^{2}-2 x+1}{3 x^{2}-2 x}=\lim _{x \rightarrow 1} \frac{6 x-2}{6 x-2}=1\)
(b) Find the correct limit.
Equation Transcription:
Text Transcription:
lim _x right arrow 1 x^3 -x^2 +x-1/x^3 -x^2 =lim _x right arrow 1 3x^2 -2x+1/3x^2 -2x = lim _x right arrow 1 6x-2/6x-2 =1
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