(a) Find the error in the following calculation:limx2e3x212x+12x4 16 = limx2(6x

Chapter 3, Problem 48

(choose chapter or problem)

(a) Find the error in the following calculation:

\(\lim _{x \rightarrow 2} \frac{e^{3 x^{2}-12 x+12}}{x^{4}-16}=\lim _{x \rightarrow 2} \frac{(6 x-12) e^{3 x^{2}-12 x+12}}{4 x^{3}}=0\)

(b) Find the correct limit.

Equation Transcription:

Text Transcription:

lim _x right arrow 2 e^3x^2 -12x+12/x^4 -16 =lim _x right arrow 2 (6x-12)e^3x^2 -12x+12/4x^3 =0

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