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`lim_(xrarr oo) ((x+5)/(x-1))^(x)` is equal to

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`lim_(xrarr oo) ((x+5)/(x-1))^(x)` is equal to
A. `e^4`
B. `e^6`
C. `e^-6`
D. `e^-4`
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1 Answer

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Correct Answer - B
We have,
`lim_(xto oo) ((x+5)/(x-1))^x=lim_(xto oo) (1+(6)/(x-1))^x=e^(lim_(x to oo)(6x)/(x-1))=e^6`
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