# Math Help - help with limits please?

1. ## help with limits please?

I am having trouble with the problem:

lim (y+2) -2/(y-2)
y->2

2. Originally Posted by sydewayzlocc
I am having trouble with the problem:

lim (y+2) -2/(y-2)
y->2

Is everything under the squareroot?

3. no, sorry for the confusion, it is only the quantity (y+2) under the square root

4. $\lim_{y\rightarrow2}\sqrt{y+2}-\lim_{y\rightarrow2}\frac{2}{y-2}$

Solving these separately may be easier.

5. can you elaborate on that a little?

6. Originally Posted by sydewayzlocc
can you elaborate on that a little?
What is the limit of the first one?

7. isnt it 2?

8. Correct.

$2-\lim_{y\rightarrow2}\frac{2}{y-2}$

What is the limit of the last limit now?

9. it produces the indeterminate form 0/0.

10. Try evaluating the limit from the left and right.

11. can you help with

lim e^(2x)-1/e^(x)-1
x->0

12. Did you ever solve the first one?

13. yes i got 1/4 as the limit

14. Originally Posted by sydewayzlocc
yes i got 1/4 as the limit
That second limit doesn't exist.

15. Originally Posted by sydewayzlocc
can you help with

lim e^(2x)-1/e^(x)-1
x->0
Use L'Hopital's Rule

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