Limit question first year calc

[devonsn]

It's supposed to be an easy question, but I'm not a math major.

Evaluate lim x-->0+ (√(9 + 17lnx + 9ln^2x) - 3√(1 + lnx + ln^2x)) , if the limit exists

 

[bdforbes]

What happens to the value of ln(x) as x goes to zero from above? Once you answer that, then think about 9+17ln(x). What is that approximately equal to for x very close to 0?

 

[devonsn]

K thanks. I think I got it now.

 

[bdforbes]

You got zero right?