Question: Consider the function f : [0, +) [0, +) defined by f(x) = x + e^(x). Show that: a.) f has no fixed point. b.)

Consider the function f : [0, +) [0, +) defined by f(x) = x + e^(x).

Show that:

a.) f has no fixed point.

b.) f is a shrinking map.

c.) f is not a contraction.

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