Question

Find the limits:
lim​

Answer 1

Answer:

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Answer 2

$\huge{ \green{ \mathfrak{ \underline{Questiom}}}}$

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■☆$Find\; :\; \red{\displaystyle {\lim_{x \to 2} \left[ {\frac{x^2-4}{x^3-4x^2+4x}} \right] }}$☆■

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$\huge{ \green{ \mathfrak{ \underline{Answer}}}}$

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$\implies \blue{ \displaystyle{\lim_{x \to 2} \left[ {\frac{x^2-4}{x^3-4x^2+4x}} \right] }}$

$\implies \displaystyle{\lim_{x \to 2} \left[ {\frac{(x)^2 - 2^2}{x^3 - 4x^2 +4x}}\right] }$

$\implies \displaystyle{\lim_{x \to 2} \left[ {\frac{(x+2)(x-2)}{x(x-2)^2}} \right] }$

$\implies \displaystyle{\lim_{x \to 2} \left[ {\frac{(x+2)(x-2)}{x(x-2)(x-2)}} \right] }$

$\implies \displaystyle{\lim_{x \to 2} \left[ {\frac{x+2}{x(x-2)}} \right] }$

$\implies \purple{\left[ \displaystyle{\frac{2+2}{2(2-2)}} \right]}$

$\implies \green{\displaystyle{\frac{4}{0}} ,\: which \: is\: undefined}$

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