when x goes very large, say infinite, what does this equation will look like?

H is a constant

1) 1/(1+(x/H)^2)^(1/2))

2) 1/(1+(H/x)^2)^(1/2))

The answers are

1) 1/x^2

2) 1/x

But I am not too sure how to get there. Thank you

- Feb 28th 2011, 07:01 AMoxxiissiixxoIf x goes very large, say infinite, what does this equation will look like
when x goes very large, say infinite, what does this equation will look like?

H is a constant

1) 1/(1+(x/H)^2)^(1/2))

2) 1/(1+(H/x)^2)^(1/2))

The answers are

1) 1/x^2

2) 1/x

But I am not too sure how to get there. Thank you - Feb 28th 2011, 07:36 AMFernandoRevilla
- Feb 28th 2011, 07:42 AMNOX Andrew
1)

As x grows larger, the denominator of the fraction grows larger. In this regard, the limit is similar to: , which is 0.

2)

As x grows larger, approaches 0. Therefore,