I have to evaluate the following limits:
a) lim x -> 7
(square root(x+2)) -3 / (x-7
I was unable to solve this
b) lim x -> 0
1/x - 1/(x^2 + x)
Somehow simplified it to 0 / x+1... this makes no sense.
c) lim x -> -infinity
(square root(4x^2 + 1)) / (3x-5)
I somehow got denominator 0 and was unable to solve.
What I did was take the x^2 out of the square root on top and got:
x^2 square root(4+1/x^2) / 3/x - 5/x^2
I am pretty sure the denominators go to zero and and this point I'm lost.
Please help. I can do this and have done similar problems before, just need a little kick start.