If i have a response for a circuit that consists of: cos(t) + e^{-t} + e^{3t}and if I let t->infinity, does exponential "over-take" cos(t)?
well, the actual question is whether the output/response remains finite as t->infinity...
You are aware, are you not, that cos(x) is never larger than 1? It doesn't take much for any function to "overtake" (which is not the same as "take over"!) cos(x).
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