i have a question : limit as t approaches infinity of the expression (-e^(-x)) (...

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ManushiG

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...(x^2) + 2x + 2)? i have to evaluate it between t and 3, t is the upper limit and 3 is the lower limit. and the answer is convergent as they totally are ignoring the t part. my question is how does that expression go to zero wen u sub in "t , as t approaches infinity" into it ??
 
you really have [x² + 2x + 2] / -e^(x) and if you had L'Hopital's methods you would see that the limit as x----> ? = 0....geometrically think of the graph of the quadratic vs that of the exponential function...at x = 10 you have 122 vs e^10 ? 22000..what does that ratio look like for that small number..the separation between the two graphs increase dramatically as x gets large
 
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