wouldn't 3^n*n! give
N Value
1 3
2 18
3 162
giving (3*18*163***3^3n*3n)
are those the values you should get, my book lacks anything explaining what 3*6*9***3n would even mean.
I thought it meant 3(n!) because the first two are right
N Value
1 3
2 6 but then
3 18
3n 9n
giving...
Radius of convergence of the series n^2(x^n)/(3n!) I am stumped
the question is: find the radius and interval of convergence of the following series {sum_(n=1)^(Infinity)}((n^2)(x^n))/(3*6*9***3n)
I'm assuming that equal to ((n^2)(x^n))/(3n)!
then lim_(n->infinity) of...