Example 8.1.4: A Function Sequence
Define { fn(x) }, where
fn(x) = max(n - n2 |x - 1/n|, 0)and x [ 0, 1 ]. Describe the elements of this function sequence.
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For each n the function
fn(x) = max(n - n2 |x - 1/n|, 0)
is piecewise linear:
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