if i try to write out what i did on this it will be very messy, but my final answer was: 1/(s+2) - 1/((s+2)^2) - 1/((s+2)^3) , s =/= -2 is this right?
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You should eliminate the mess and somehow lose the first two pieces. Do t^2 and e^(-2t) separately and get an idea of where you are aiming.
If you are using the definition, you should know that . It's not pretty, but here you go... . Of course, it's much, much, much easier to use the fact that , because then... .
thanks for that.. one question.. why do you differenciate the first term only in the 6th line, and why is that acceptable? i.e when lim {ε^2/e^((s+2)ε)} goes to lim {2ε/[(2+s)e^(2+s)ε]}
I didn't, I used L'Hospital's Rule.
ahhhh yes i see... thanks heaps
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