Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Analysis Sequences and Series of Functions
For a positive integer n, let f(n) denote the nth derivative of f. Suppose an entire function f satisfies f(2) + f = 0.
Which of the following is correct?
1
(f(n)(0))n≥1 is convergent.
2
limn→∞ f(n)(0) = 1.
3
limn→∞f(n)(0) = -1.
4
(|f(n) (0)|)n≥1 has a convergent subsequence.
5
Question Not Attempted