11. Suppose that f is uniformly continuous on [0, M) for all M > 0 and lim, f(x) true if we do not require lim,→∞ f(x) = L? = L. Show that f is uniformly continuous on [0, 0). Is this

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11. Suppose that f is uniformly continuous on [0, M) for all M > 0 and
lim→∞ f (x) = L. Show that ƒ is uniformly continuous on [0, ∞). Is this
true if we do not require limp→∞f (x) = L?
∞+x-
Transcribed Image Text:11. Suppose that f is uniformly continuous on [0, M) for all M > 0 and lim→∞ f (x) = L. Show that ƒ is uniformly continuous on [0, ∞). Is this true if we do not require limp→∞f (x) = L? ∞+x-
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