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- A process creates a radioactive substance at the rate of 1 g/hr, and the substance decays at an hourly rate equal to 1/10 of the mass present (expressed in grams). Assuming that there are initially 20 g, find the mass S(t) of the substance present at time t, and find lim S(t) as t approaches infinity(3) Using the appropriate approach covered in Unit 6 of this Course along with knowledgegained in Unit 1 and 2, show that: (a) Limx→0 (1/x-1 +1/x+1)/x = -2 (b) Limh→0 (h/√5h + 4 − 2) = 4/5(c) Limt→1(t3- 1/t-1) = 3What is the long term behavior of your hand drawn solution; that is, what is lim t-> infinity M(t) equal to?