Math, asked by gangasatheesh, 1 year ago

lim x tends 2. x^3_4x^2+4x÷x^2_4

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Answers

Answered by ajeshrai
17
you can see your answer
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Answered by Shubhendu8898
11

Given,

 =\lim_{x \to 2 \ \  ( \frac{x^{3} - 4x^{2} + 4x}{x^{2} - 4})}  \\ \\ = \lim_{x \to 2 \ \  ( \frac{x(x^{2} -4x + 4 )}{x^{2} - 2^{2}}) \ \\ </p><p>\\=\lim_{x \to 2 \ \   \frac{x(x-2)^{2}}{(x-2)(x+2)} \\</p><p>\\  =\lim_{x \to 2 \ \   \frac{x(x-2)}{(x+2)} \\ \\

= 2(2-2)/(2+2)

= 0

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