- #1

yeny

- 7

- 0

Hi guys!

Here's a problem i was working on. I solved it by root test and got absolute value of x on the outside of the limit and the limit equaled zero. Is it wrong to multiply the outside absolute value by the zero I got from the limit? or is that okay?

In general, when we are solving power series problems, is it okay to think of R equals infinity when the limit is zero? is that always the case? the interval of convergence is (-inf, +inf)

what are the steps that YOU would take to solve such a problem?

hope this makes sense. THANK YOU !

View attachment 8520

View attachment 8519

Here's a problem i was working on. I solved it by root test and got absolute value of x on the outside of the limit and the limit equaled zero. Is it wrong to multiply the outside absolute value by the zero I got from the limit? or is that okay?

In general, when we are solving power series problems, is it okay to think of R equals infinity when the limit is zero? is that always the case? the interval of convergence is (-inf, +inf)

what are the steps that YOU would take to solve such a problem?

hope this makes sense. THANK YOU !

View attachment 8520

View attachment 8519