I've done a bunch of practice for my quiz tomorrow. However, I can't seem to find the answers to one of the worksheets so i can check my answers.
1. lim x->0 1-cox/x^2. My answer 1/2
2. lim x-> infinity ln(x)^2/x. My answer 0
3. lim x-> infinity (3x-sqrt(9x^2+2x+1)). Bit lost on this one. -sqrt(9x^2+2x+1)/(1/3x). 1/2(9x^2+2x+1)^-1/2*(18x+2)/(-3/9x^2)
4. lim x->0+ sqrt(x)*(ln(x)). My answer 0.
5. lim x ->infinity (3x-2/3x+1)^x No clue
6. lim x-> infinty (e^x+2)^1/x My answer y=e^1/3
7. lim x-> 0 arctan(x)/x^2 My answer 0
8. lim x->0 sinh(x)/sin(x) My answer 1.