Question

giving medals:
Use graphs and tables to find the limit and identify any vertical asymptotes of the function.

limit as x approzches 1,of:1/(x-1)^2

Answer 1

First you need a graphing calculator.

Answer 2

yes,i have one:)

Answer 3

@ganeshie8

Answer 4

@zepdrix can u help me,plz?

Answer 5

@confluxepic

Answer 6

@Conqueror

Answer 7

The denominator goes to zero when x approaches 1.
Therefore, there is a vertical asymptote at x = 1.
Both the left and right hand side limits are +infinity.

Answer 8

Click on the graph to enlarge it: http://awesomescreenshot.com/0d53q1ng83

Answer 9

does this mean that the graph doesn't have a limit?

Answer 10

Yes, the function is unbounded as x approaches 1. The limit DNE.

Answer 11

ok,thnku very much @aum :)

Answer 12

If both left and right side limits are +infinity some books say the limit exists and it is infinity. Other books say the limit does not exist because infinity is not a real number. Depends on your book/teacher.

Answer 13

ok,got it!