- #1
nothing123
- 97
- 0
evaluate the limit as x=>0 of sqrt(x^2+x) - x
so i multiplied by the conjugate to get:
x^2 + x - x^2 / sqrt(x^2 +x) + x
which simplifies to:
x / sqrt (x^2 + x) + x = infinity/infinity
taking LH, you get:
1 / 1/2(x^2+x)^(-1/2) * (2x+1) + 1 = infinity/infinity again
looking ahead, it doesn't look like LH is going to help
any suggestions?
so i multiplied by the conjugate to get:
x^2 + x - x^2 / sqrt(x^2 +x) + x
which simplifies to:
x / sqrt (x^2 + x) + x = infinity/infinity
taking LH, you get:
1 / 1/2(x^2+x)^(-1/2) * (2x+1) + 1 = infinity/infinity again
looking ahead, it doesn't look like LH is going to help
any suggestions?