Question
Asked Dec 19, 2019
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Suppose that the function f: [0, 1]  in R is continuous and that
f (x)>= 2     if 0 <= x < 1.
Show that f(1) >= 2.

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Expert Answer

Step 1

Step 2

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fis continuos in [0,1 =fis continuos at x=1 = lim f (x)= lim f(x)= f (1) = lim f(x)= f(1) X-1* (1)

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Step 3

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= lim f(x)2 lim 2 x-1" lim f(x)22 (2) =

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Math

Advanced Math