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SSC Pure Mathematics QUESTION #4130
Question 1
What is the radius of convergence of the Maclaurin series for $f(z) = z^2 e^{3z}$?
  • $1$
  • $3$
  • $\infty$ (entire function)✔️
  • $\frac{1}{3}$
Correct Answer Explanation
$e^{3z}$ is entire (converges everywhere). Multiplying by $z^2$ preserves this property. Radius of convergence is $\infty$.