April 21st question
Assume that a certain network can be approximated by a particular continuous model, and its number of nodes increases at a rate given by the function \( f(t) = e^{\frac{-t}{1000}+10} \). Given that at \( t=0 \), the number of nodes is 0, what is the approximate maximum number of nodes that this network can have? Tip: get an expression for the number of nodes \( N(t) \) and its limit when \( t \rightarrow \infty \). \( e^{\frac{-1}{3}+10} \). \( 1000\ e^{\frac{-1}{3}+10} \). \( 1000\ e^{10} \). \( e^{10} \). None of the above Original idea by: Christian Konishi