What is -LSB- math -RSB- \ displaystyle \ lim _ -LCB- n \ to \ infty -RCB- \ scriptstyle \ sqrt -LCB- 1 + \ sqrt -LCB- 2 + \ sqrt -LCB- 3 + \ sqrt -LCB- \ ldots \ sqrt -LCB- n -RCB- -RCB- -RCB- -RCB- -RCB- -LSB- / math -RSB- ?
What is -LSB- math -RSB- \ displaystyle \ lim _ -LCB- n \ to \ infty -RCB- \ scriptstyle \ sqrt -LCB- 1 +2 \ sqrt -LCB- 1 +3 \ sqrt -LCB- 1 +4 \ sqrt -LCB- \ ldots \ sqrt -LCB- 1 + n -RCB- -RCB- -RCB- -RCB- -RCB- -LSB- / math -RSB- ?