Originally Posted by
s3a When I try to solve limits I find I always get the answer wrong when dealing with square roots.
Here's an example:
lim x --> - infinity (sqrt(x^2 + x + 1) + x
what I do:
lim x --> - infinity (sqrt(x^2 + x + 1) + x (((sqrt(x^2+x+1) - x)/((sqrt(x^2+x+1) - x))
lim x --> -infinity (x^2 + x + 1 - x^2)/(sqrt(x^2 + x + 1) - x)
lim x --> -infinity (x + 1)/(sqrt(x^2 + x + 1) - x)
lim x --> -infinity (x + 1)/(sqrt(x^2( 1 + 1/x + 1x^2) - x)
lim x --> -infinity (x/x(1 + 1/x)/(sqrt((x^2)/(x^2)( 1 + 1/x + 1x^2) - x/x)