What is the value of -LSB- math -RSB- \ lim \ limits _ -LCB- x \ to \ infty -RCB- \ frac -LCB- 1 +2 +3 + \ cdots x -RCB- -LCB- x ² -RCB- -LSB- / math -RSB- ?
If -LSB- math -RSB- n \ in \ mathbb -LCB- N -RCB- -LSB- / math -RSB- , what is the value of -LSB- math -RSB- \ lim _ -LCB- x \ to \ infty -RCB- x ^ n \ cdot e ^ -LCB- - x -RCB- -LSB- / math -RSB- ?