3. True or False: There exists a holomorphic function on D(0, 1) such that f(1/n) = f(-1/n) = 1/n² for all ne Z+. (b) False (c) (d) (a) O (b) 0 (c) ASMED BATANGA NOT OWN (a) True

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Q: 4. True or False: There exists a holomorphic function on D(0, 1) such that f(1/n) = f(−1/n) = 1/n³…

A: Solution:

Q: 4. (a) Let f: X→Y, g: Y→ Z, and h: Y→ Z be functions. Prove or disprove: If gof=hof, then g = h. (b)…

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A: f(x) = ( x2-2, x<=3            x+4, x>3

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Q: 5. Let f(z) = 3z* + iz3 + z + 7. Prove that all roots of f (z) are in the annulus 1 < |z| < 2.

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A: If you have any questions let me know in comment box thankyou for your question.

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