14. Suppose fi(2) is analytic at 20, while f2(2) is non-analytic at zo. Then show that...

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14. Suppose fi(2) is analytic at 20, while f2(2) is non-analytic at zo. Then show that fi(2)+f2(2) is not analytic at zo. Give an example to show that sum of two non-analytic function can be analytic. 15. Suppose f is analytic in a domain D. If f'(2) = 0 for all z E D, then f is constant on D. Will the result hold if we take D to be any set instead of domain? 14. Suppose fi(2) is analytic at 20, while f2(2) is non-analytic at zo. Then show that fi(2)+f2(2) is not analytic at zo. Give an example to show that sum of two non-analytic function can be analytic. 15. Suppose f is analytic in a domain D. If f'(2) = 0 for all z E D, then f is constant on D. Will the result hold if we take D to be any set instead of domain?

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14 Pf If 2 f z be analytie at Zo po8sible let the sum or the subshation or pwduit ... View the full answer