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

 

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

 

x->infinity

Grade:12th pass

1 Answers

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
9 years ago
Hello Student,
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
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty

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