## clara1223 one year ago find the limit as x approaches 0 of (1-(100/x^2))/(1+(100/x^2))

1. clara1223

$\lim_{x \rightarrow 0}\frac{ 1- \frac{ 100 }{ x ^{2} }}{ 1+\frac{ 100 }{ x ^{2} } }$

2. amistre64

multiply by x^2/x^2 to clear those fractions if they annoy you

3. clara1223

so then im left with $\frac{ x ^{2}-100 }{ x ^{2}+100 }$ correct?

4. amistre64

so far so good

5. clara1223

could I substitute x for 0 and get -100/100 which is -1? or is there more simplifying required?

6. amistre64

thats as simple as it gets ...

7. amistre64

the other way we simply leave x^2 where it is at, and get (1-inf)/(1+inf) = -(inf/inf) = -1 as a lazy trial lol

8. anonymous

Refer to the attachment from the Mathematica program.