How do you find the limit of #sqrt(1/x+2)-sqrt(1/x)# as #x->0^+#?
1 Answer
Dec 14, 2016
Here is an outline.
Explanation:
# = (((2x+1)-1)sqrtx)/(x(sqrt(2x+1)+1))#
# = (2sqrtx)/(sqrt(2x+1)+1)#
Taking a limit as
#(2(0))/(sqrt(2(0)+1)+1)#
# = 0/2=0#
