2. Prove that each of the following functions is uniformly continuous on (0,1). (a) (b) (c) (d)...

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2. Prove that each of the following functions is uniformly continuous on (0,1).

(a)

(b)

(c)

(d)

(e)

x3 -1 f(x) = --1' x-

. 1 f(x) = xsm-.

x f(x) is any polynomial.

f(x) = sin x .

x

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