How do you find the limit of #sqrt(x^2 + 1) - x# as x approaches infinity?
2 Answers
Explanation:
Binomial expansion on the radical
Rewrite the expression using the conjugate.
Explanation:
# = 1/(sqrt(x^2+1)+x)#
As
The following is optional.
From
For
# = 1/(sqrt(x^2)sqrt(1+1/x^2)+x)#
# = 1/(x sqrt(1+1/x^2)+x)#
# = 1/(x(sqrt(1+1/x^2)+1)#
As