Posted by **Anonymous** on Thursday, October 28, 2010 at 9:37am.

What is the horizontal asymptote of f(x)=x/(x-1)^2

It is supposed to be y=0 but then I even know that b/d is the horizontal asymptote, in this since there is no b, it would be 0/1 which is 0

is the above reasoning correct?

- Math - horizontal asymptote of f(x) (check) -
**jai**, Thursday, October 28, 2010 at 9:39am
horizontal asymptote occurs where the value of x is restricted,,

n the given function f(x)=x/(x-1)^2, what value of x is restricted?

- Math - horizontal asymptote of f(x) (check) -
**jai**, Thursday, October 28, 2010 at 9:41am
oops i got it wrong

horizontal asymptote occurs where the value of y is restricted,,

so in the given function f(x)= y = x/(x-1)^2, what value of y is restricted?

- Math - horizontal asymptote of f(x) (check) -
**Reiny**, Thursday, October 28, 2010 at 9:48am
your function expanded is

f(x) = x/(x^2 - 2x + 1)

For a horizontal asymptote we look at what happens to the function as x ---> infinity.

Use an intuitive approach ...

as x becomes very large, say x = 1 million, the denominator becomes large much faster than the numerator.

So you have a division by a hugely large number resulting in a number close to zero

So when x ---> + infinity, f(x) ---> +0 (still above the x-axis)

wen x ---> - infinity , f(x) ----> -0 (slightly below the x-axis)

- Math - horizontal asymptote of f(x) (check) -
**Anonymous**, Thursday, October 28, 2010 at 9:55am
is it that the y-value is restricted to being positive. sine the horizontal asymptote has an equation of y=0.

- Math - horizontal asymptote of f(x) (check) -
**jai**, Thursday, October 28, 2010 at 9:59am
horizontal asymptote:

y = 0 , as x approaches plus/minus infinity

## Answer this Question

## Related Questions

- Precalculus - Write an equation for rational function with given properties. a...
- math - Suppose the the limit as x approaches 6 to the left equals infinity. What...
- PreCalculus - State the Vertical Asymptote, Horizontal Asymptote, domain, range...
- calculus - The following rational function describes concentration in blood of a...
- Math - What is the: - vertical asymptote -horizontal asymptote -non permissible ...
- College Algebra - Given the following rational functions,find:a.)the horizontal ...
- college algebra - Given the following rational function, find a. the horizontal ...
- Math - Analyze the function algebraically. List its vertical asymptotes, holes, ...
- Trigonometry - F(X) = 2x^3-5x^2-19x+1 / x^2-9....I need the vertical asymptote, ...
- calculus - f(x)= (5x^4 + 5x^3 + 6x^2 + 8x + 5)/(1x^4 + 1x^3 + 1x^2 - 9x + 4) ...

More Related Questions