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lim (1+a/x+b/(x)^2)^2x=e^2, then a and b are?

x->infinity

Sourabh Kumar , 12 Years ago
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anser 1 Answers
Rinkoo Gupta

Last Activity: 11 Years ago

lim ( 1+a/x+b/x^2)^2x=e^2

x->infinite

e^limx->infinte 2x[1+a/x+b/x^2 -1]=e^2

e^limx->infinite2x[a/x+b/x^2]=e^2

e^limx->infinite2[a+b/x]=e^2
e^2a=e^2
=>2a=2
=>a=1

Thanks & Regards

Rinkoo Gupta

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