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Let  (zn)be a sequence of distinct points in  with    
Consider the following statements P and Q:
(P) : There exists a unique analytic function f on D(0,1) such that f(zn) = sin(zn) for
all n.
(Q) : There exists an analytic function f on D(0,1) such that f(zn) = 0 if n is even
and f(zn) = 1 if n is odd.
Which of the above statements hold TRUE?
  • a)
    both P and Q
  • b)
    only P
  • c)
    only Q
  • d)
    Neither P nor Q
Correct answer is option 'B'. Can you explain this answer?
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Let (zn)be a sequence of distinct points inwith Consider the following statements P and Q:(P) : There exists a unique analytic function f on D(0,1) such that f(zn) = sin(zn) forall n.(Q) : There exists an analytic function f on D(0,1) such that f(zn) = 0 if n is evenand f(zn) = 1 if n is odd.Which of the above statements hold TRUE?a)both P and Qb)only Pc)only Qd)Neither P nor QCorrect answer is option 'B'. Can you explain this answer?
Question Description
Let (zn)be a sequence of distinct points inwith Consider the following statements P and Q:(P) : There exists a unique analytic function f on D(0,1) such that f(zn) = sin(zn) forall n.(Q) : There exists an analytic function f on D(0,1) such that f(zn) = 0 if n is evenand f(zn) = 1 if n is odd.Which of the above statements hold TRUE?a)both P and Qb)only Pc)only Qd)Neither P nor QCorrect answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Let (zn)be a sequence of distinct points inwith Consider the following statements P and Q:(P) : There exists a unique analytic function f on D(0,1) such that f(zn) = sin(zn) forall n.(Q) : There exists an analytic function f on D(0,1) such that f(zn) = 0 if n is evenand f(zn) = 1 if n is odd.Which of the above statements hold TRUE?a)both P and Qb)only Pc)only Qd)Neither P nor QCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let (zn)be a sequence of distinct points inwith Consider the following statements P and Q:(P) : There exists a unique analytic function f on D(0,1) such that f(zn) = sin(zn) forall n.(Q) : There exists an analytic function f on D(0,1) such that f(zn) = 0 if n is evenand f(zn) = 1 if n is odd.Which of the above statements hold TRUE?a)both P and Qb)only Pc)only Qd)Neither P nor QCorrect answer is option 'B'. Can you explain this answer?.
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