Verify the initial value theorem for the function f(t) =2e^(-3t)

Question : Verify the initial value theorem for the function f(t) =2e^(-3t)Solution : Given function \[𝒇(𝒕) = 𝟏 + 𝒆^{-𝒕}(𝒔𝒊𝒏𝒕 – 𝒄𝒐𝒔𝒕)\] First we shall verify initial value theorem which states that \[limit_{t\rightarrow 0 \ }f\left(t\right)=limit_{s\rightarrow\infty\ }sF\left(s\right)\] where F(s) is…

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