Evaluate the following limits:
1) lim as x-->0+, x^(1/3)*ln(x)
2) lim as x-->1+, (1/ln(x) - 1/(x-1))
3) lim as x-->infinity, (1+(4/x))^(x/5)
I'm unsure how to even begin these ones...any help would be greatly appreciated.
I'm in Calc 251, I'm not sure what the equivalent of that is. No instructions were given on the practice assignment question I posted except what I've included. There were four questions and I answered the first one using L'Hopitals, so I'm assuming there would be no problem with this.
Ok. So, you instructer shouldv'e mentioned something about indeterminate forms, but anyway.
Not that by substitution, number 2 yields the indeterminate form $\displaystyle \infty-\infty$. The goal here is to rewrite this into a function that produces - by substitution - either $\displaystyle \frac{0}{0}$ or $\displaystyle \frac{\infty}{\infty}$, so that L'Hopital's rule will apply. Can you do this?