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 one year ago
May someone do this all full steps of this limit limit of x > 1+ (x1)/(sqrt(2xx^2)1.
 one year ago
May someone do this all full steps of this limit limit of x > 1+ (x1)/(sqrt(2xx^2)1.

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calculusfunctions
 one year ago
Best ResponseYou've already chosen the best response.0\[\lim_{x \rightarrow 1}\frac{ x 1 }{ \sqrt{2x x ^{2}}1 }\]\[=\lim_{x \rightarrow 1}\left( \frac{ x 1 }{ \sqrt{2x x ^{2}}1 } \right)\left( \frac{ \sqrt{2x x ^{2}}+1 }{ \sqrt{2x x ^{2}}+1 } \right)\]\[=\lim_{x \rightarrow 1}\frac{ (x 1)(\sqrt{2x x ^{2}}+1) }{ 2x x ^{2}1 }\]\[=\lim_{x \rightarrow 1}\frac{ (x 1)(\sqrt{2x x ^{2}}+1) }{ (x ^{2}2x +1) }\]\[=\lim_{x \rightarrow 1}\frac{ (x 1)(\sqrt{2x x ^{2}}+1) }{ (x 1)^{2} }\]\[=\lim_{x \rightarrow 1}\frac{ (\sqrt{2x x ^{2}}+1) }{ x 1 }\]\[=\frac{ 2 }{ 0 }\]which is undefined. ∴ the limit does not exist.

calculusfunctions
 one year ago
Best ResponseYou've already chosen the best response.0Did you understand @viniterranova ?
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