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`lim_(xrarr oo)((x^2+4x-3)/(x^2-2x+5)^x)` is equal to

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`lim_(xrarr oo)((x^2+4x-3)/(x^2-2x+5)^x)` is equal to
A. `e^6`
B. `e^-6`
C. `e^2`
D. `e^4`
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Correct Answer - A
`lim_(xto oo)((x^2+4x-3)/(x^2-2x+5))^y`
`lim_(x to oo) (1+(6x-8)/(x^2-2x+5))^x=e^(lim_(xto oo)) (6x^2-8x)/(x^2-2x+5)=e^6`
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