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x→∞ [itex]\frac{7x^2-14x+7}{\sqrt{2x^4-4x^3+x+7}}[/itex]

Normally wouldn't have an issue here, just slightly confused by the sqrt.

Attempted solution:

[itex]\frac{7x^2-14x+7}{\sqrt{2x^4-4x^3+x+7}}*\frac{x^-2}{x^-2}[/itex]

Yields [itex]\frac{7}{\sqrt{2}}[/itex]

Is this correct?

Similarly:

lim

x→-∞

[itex]\frac{x^3+x+1}{\sqrt{2x^6+x^3+x+3}}[/itex]

Yields [itex]\frac{1}{\sqrt{2}}[/itex]

and

lim

x→-∞

[itex]\frac{x^2+x+1}{\sqrt{2x^4+x^3+x+3}}[/itex]

Yields [itex]\frac{1}{\sqrt{2}}[/itex]

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# Limit to Infinity with Sqrt in Denom.(Is this correct?)

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