- #1

- 301

- 0

## Homework Statement

a. lim

x→0

(x^3 − 2x + 7)/(3x^2 − 3)

b. lim

x→-1

1/(x+1)

## Homework Equations

## The Attempt at a Solution

For a. I obtained a limit of 7/-3

For b. the limit does not exist

(I really unsure about this)

- Thread starter NATURE.M
- Start date

- #1

- 301

- 0

a. lim

x→0

(x^3 − 2x + 7)/(3x^2 − 3)

b. lim

x→-1

1/(x+1)

For a. I obtained a limit of 7/-3

For b. the limit does not exist

(I really unsure about this)

- #2

STEMucator

Homework Helper

- 2,075

- 140

They both look good. Could you elaborate on part (b) a little more though?

- #3

- 301

- 0

Thanks.They both look good. Could you elaborate on part (b) a little more though?

For b:

lim 1/(x+1) = ∞ (+)

x→-1 (+)

lim 1/(x+1)= ∞ (-)

x→-1 (-)

Therefore, lim 1/(x+1)=undefined

x→-1

- #4

Dick

Science Advisor

Homework Helper

- 26,260

- 619

That's just fine.Thanks.

For b:

lim 1/(x+1) = ∞ (+)

x→-1 (+)

lim 1/(x+1)= ∞ (-)

x→-1 (-)

Therefore, lim 1/(x+1)=undefined

x→-1

- Last Post

- Replies
- 12

- Views
- 736

- Replies
- 7

- Views
- 1K

- Replies
- 6

- Views
- 3K

- Replies
- 14

- Views
- 3K

- Replies
- 7

- Views
- 2K

- Last Post

- Replies
- 7

- Views
- 2K

- Last Post

- Replies
- 20

- Views
- 3K

- Last Post

- Replies
- 1

- Views
- 863

- Last Post

- Replies
- 4

- Views
- 847

- Last Post

- Replies
- 2

- Views
- 2K