Question #e27b8
1 Answer
Oct 20, 2016
For
#x/sqrt(x^2+1) = x/sqrt(x^2(1+1/x^2))#
# = x/(sqrt(x^2)sqrt(1+1/x^2))#
Since
# = lim_(xrarroo)1/sqrt(1+1/x^2)#
# = 1/sqrt(1+0) = 1#
On the left, we have
# = lim_(xrarroo)-1/sqrt(1+1/x^2)#
# = -1/sqrt(1+0) = -1#