Monday

October 20, 2014

October 20, 2014

Posted by **Michael** on Monday, September 5, 2011 at 4:26pm.

lim x (arrow to the right) 1 x-1/x(squared)-1. Please help!

- Math -
**Reiny**, Monday, September 5, 2011 at 5:50pmIn any algebraic limit, proceed as follows

1. sub in the approaching value , in this case x = 1, into the expression.

2. If you get a real number, that is your answer. You are done

3. If you get a/0, where a ≠ 0, then your limit is undefined, or "there is no limit"

4. If you get 0/0, then your expression will somehow factor and you will be able to reduce it.

in this case we get 0/0 , so let's look for factoring.

Sure enough,

Limit (x-1)/(x^2-1)

= limit (x-1)/[(x-1)(x+1)] as x-->1

= limit 1/(x+1) , as x ---> 1

= 1/(1+1)

= 1/2

**Answer this Question**

**Related Questions**

calculus (limits) - Use limits to explain why f(x)= (7-3X)/(X+9) has a vertical ...

stats - 4. Data from the 2008 General Social Survey (GSS) sample show that the ...

Calculus please help!!! double integral - Combine the following two integrals ...

Calculus - We are doing limits in Calculus, but now we are doing trig limits too...

Statistics - Multiple Choice Which of the following statements is true about the...

CALCULUS 2!!! PLEASE HELP!! - I'm having trouble with this question on arc ...

stats - 3. The mean family income in Arizona is about $64,750 with a standard ...

Calculus - Find the following limits algebraically or explain why they don’t ...

calculus-limits - For f(x) = e^x sinx , what can be said about lim x -> ...

Maths Calculus Derivatives & Limits - Using the definition of the derivative ...