Question

What is the interval of convergence for the power series the summation from n equals 1 to infinity of the product of negative n factorial and x to the nth power

Answer 1

∞ and n = 1

Explanation:

The interval of convergence for the power series :

= ∞ and n = 1

summation of the product of negative n factorial and x^n = ∑ -n! * xⁿ

Interval : ∞ , n = 1

And the test that can be carried out here to test for the convergence or divergence of the power series is called Integral test