Problem with a 'simple' equation?

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rudderbird
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Okay so, the main equation was this-
i = E/R + Ae^[-(RT)/L]

My problem is with the equation no. 2.
How do we get e^t/lamda when lamda = R/L? It should be e^t*lamda and where did the minus symbol go (the one in the power of e). And to equate i = i not it has to be (1 - e^t/lamda) = 1 and if t tends to infinity that's not possible in any way!

Please tell me where I am doing wrong! HELP!
 
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The page has an error. Lambda should be L/R. The typography of the book puts a minus sign on the same level as the line for a fraction, so I think the exponent that looks like [itex]\frac{t}{\lambda}[/itex] is really [itex]\frac{-t}{\lambda}[/itex]. To be correct, it should have the minus sign.
 
Thanks so much! I just needed a confirmation!