Answer the following True or False:

If you were to use the root test on a series n=1 an\displaystyle {\sum_{{{n}={1}}}^{{\infty}}}\ {a}_{{n}} and found that limnann=1\displaystyle \lim_{{{n}\to\infty}}{\sqrt[{{n}}]{{{\left|{a}_{{n}}\right|}}}}={1}, you can conclude that the series n=1 an\displaystyle {\sum_{{{n}={1}}}^{{\infty}}}\ {a}_{{n}} diverges.