Consider two functions of time (𝑡), 𝑓(𝑡) = 0.01 𝑡2 𝑔(𝑡) = 4𝑡 where 0 <…

Consider two functions of time (𝑡),

             𝑓(𝑡) = 0.01 𝑡2

            𝑔(𝑡) = 4𝑡

where 0 < 𝑡 < ∞.

Now consider the following two statements:

(i) For some 𝑡 > 0, 𝑔(𝑡) > 𝑓(𝑡).

(ii) There exists a 𝑇, such that 𝑓(𝑡) > 𝑔(𝑡) for all 𝑡 > 𝑇.

Which one of the following options is TRUE?