URGENT!!!! calculus!! LIMITS!!

👨🏻‍🏫 學術台數學

[匿名]

2008-05-15 12:08 am

evaluate the following:

1) lim 1/|x|
x→ 0

2) lim (x^2-1) / (x-1)
x→ 1

3) lim 3(1-x^2) / (x^3+1)
x→ -1

4) lim |x|
x→ 0

5) If f(x)=2x-7
lim [f(x+h)−f(x)] / h
h→0

更新1:

i think there are some mistake for the answers... the computer (online assignment) said my answers are wrong they are all in one question please help!!! thank you~ p.s for #3 my answer is 2, am i right?

回答 (3)

用戶7639

2008-05-15 3:09 am

✔ 最佳答案

As follow
As follow
As follow
As follow

圖片參考：http://s3.simpload.com/0514482ac7835245b.jpg

圖片參考：http://s3.simpload.com/0514482ac7bfaf314.jpg

2008-05-14 20:37:16 補充：
http://i302.photobucket.com/albums/nn113/ken123572003/1-3.jpg

http://i302.photobucket.com/albums/nn113/ken123572003/Question.jpg

2008-05-14 20:37:44 補充：
http://i302.photobucket.com/albums/nn113/ken123572003/1-3.jpg

http://i302.photobucket.com/albums/nn113/ken123572003/4-5.jpg

👍 0 👎 0

Karin

2008-05-15 1:23 am

1) lim 1/|x|
x→ 0
Undefined

2) lim (x^2-1) / (x-1)
x→ 1
= 2 [ as (x^2-1)/(x-1) = (x+1)]

3) lim 3(1-x^2) / (x^3+1)
x→ -1
= 0 [ 3(1-x^2) / (x^3+1) = 3(1+x)/(x^2+x+1)]

4) lim |x|
x→ 0
= 0

5) If f(x)=2x-7
lim [f(x+h)−f(x)] / h
h→0
= 2 [As (f(x+h) - f(x))/h = (2x+2h-7 - (2x-7))/h = 2]

👍 0 👎 0

Terry

2008-05-15 1:21 am

Any number divide by 0 equals to undefined or infinitive.

1/ undefined or infinitive
2/ undefined or infinitive
3/ undefined or infinitive
4/ 0
5/ undefined or infinitive

👍 0 👎 0

收錄日期: 2021-04-23 20:36:22
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