x-> + infinity (x-sqrt(x^2-3x))
for this i got 3, because after it is rationalized i got 3x/x= 3
x-> - infinity (3x^2+4x+2)/(5-x+x^3)
i got 3/x , and zero as the final answer
are they right. thank you.
3 answers
Help with this please?
The first one should be 3/2, we have:
sqrt(x^2-3x) =
x sqrt(1 - 3/x) =
x [1 - 1/2 (3/x) + O(1/x)^2] =
x - 3/2 + O(1/x)
sqrt(x^2-3x) =
x sqrt(1 - 3/x) =
x [1 - 1/2 (3/x) + O(1/x)^2] =
x - 3/2 + O(1/x)
sorry what is O, i don't understand