(Solution Library) Recall that f is continuous and f(0) = 1. By Problem 3 , there is such that f(t) > 0 for all t [0, ]. (6) Use this, along with (1) and


Question: Recall that f is continuous and f(0) = 1. By Problem 3 , there is such that

f(t) > 0 for all t [0, ]. (6)

Use this, along with (1) and Corollary A from Problem 1 , to conclude that

f(t) > 1 for all t ]0, ],

where is the number from (6). Note that the interval here is open on the left.

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