- #1
r_swayze
- 66
- 0
Can somebody show a step by step process of how to get this answer?
I keep getting -∞ when it should be ∞
heres my work:
lim x→∞ (x - ln x) = lim x→∞ ((1 - 1/x ln x) / (1/x)
then apply l'hospitals rule
lim x→∞ (x^(-2) ln x - x^(-2)) / (-x^(-2))
then I cancel all the x^(-2) and I am left with -ln x which would equal to -∞
I keep getting -∞ when it should be ∞
heres my work:
lim x→∞ (x - ln x) = lim x→∞ ((1 - 1/x ln x) / (1/x)
then apply l'hospitals rule
lim x→∞ (x^(-2) ln x - x^(-2)) / (-x^(-2))
then I cancel all the x^(-2) and I am left with -ln x which would equal to -∞