X-lim 3x2-2x-1-x2-x-2 6x-1-3x-2is equal to

X→∞lim ( 3x^2+2x+1/x^2+x+2 )^6x+1/3x+2 x→∞lim ( 3+2/x+1/x^2/1+1/x+2/x^2 )^6+1/3/3+2/x= ( 3/1 )^6/3=9 ...

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Indeterminate Forms

x→∞lim 3x2+2x...

Question

$l i m x \to \infty {(\frac{3 x^{2} + 2 x + 1}{x^{2} + x + 2})}^{\frac{6 x + 1}{3 x + 2}} is equal to$

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Solution

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lim x \to \infty {(\frac{3 x^{2} + 2 x + 1}{x^{2} + x + 2})}^{\frac{6 x + 1}{3 x + 2}}

$l i m x \to \infty {(\frac{3 x^{2} + 2 x + 1}{x^{2} + x + 2})}^{\frac{6 x + 1}{3 x + 2}} is equal to$

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\sqrt{2 x} + \sqrt{- x^{4} - 1}

If $y = [\frac{x^{2} + 2 x}{3 x - 4}], t h e n \frac{d y}{d x}$ =?

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