For each of the following real functions, use Definition 4.1 directly to prove that f'(a) exists. a)

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For each of the following real functions, use Definition 4.1 directly to prove that f'(a) exists.
a) f(x) = x2 + x, ∊ R
b) f{x) = √x, a > 0
c) f(x) = l/x, a ≠ 0
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