# Thread: LImits at infinity help: Indeterminate forms

1. ## LImits at infinity help: Indeterminate forms

Help with these: Find the limit if it exists

2. do you know L'Hopital's rule?

3. Number 3 has an answer similar to this:

Question: how did (2x-1)/(2sqrt(x^2-x)) became 1?

Number 3 has an answer similar to this:

Question: how did (2x-1)/(2sqrt(x^2-x)) became 1?
for x>0

sqrt(x^2-x)=x*sqrt(1-1/x)

now simplify (2x-1)/(2sqrt(x^2-x)) and take the limit.

5. Is The answer of number 1 e^1? and thanks

Is The answer of number 1 e^1? and thanks

No (1) diverges.

Take logs and then consider the limit of x^2 ln(1+1/(2x)) using L'Hopital's rule.

RonL

7. The answer of no. 1 is e^(-4)? Isnt it?