Question 1117867
Approaching 0 from the negative side:<br>

perl -e  '$x=-.1; $e=2.718281828459; for($j=1; $j<6; $j++) { $a = ((1+$x)**(1/$x)-$e)/$x; print "f($x) =  $a\n"; $x=$x/10;}' 
f(-0.1) =  -1.49690162333441
f(-0.01) =  -1.37171979700281
f(-0.001) =  -1.36038798385263
f(-0.0001) =  -1.35926551149801
f(-1e-05) =  -1.35915214047877 <br>

And approaching 0 from the positive side:
perl -e  '$x=.1; $e=2.718281828459; for($j=1; $j<6; $j++) { $a = ((1+$x)**(1/$x)-$e)/$x; print "f($x) =  $a\n"; $x=$x/10;}' 
f(0.1) =  -1.24539368358998
f(0.01) =  -1.34679990374718
f(0.001) =  -1.35789622340665
f(0.0001) =  -1.35901634074731
f(1e-05) =  -1.35912667031945<br>

Which looks to be  {{{ highlight(-e/2) }}}