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Limit proofsa. Assume |f(x) | ≤ L for all x near a and . Give a formal proof that .b. Find...

Limit proofs

a. Assume |f(x) | ≤ L for all x near a and . Give a formal proof that .

b. Find a function f for which . Why doesn’t this violate the result stated in (a)?

c. The Heaviside function is defined as

Explain why

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