# calculus

posted by rod

y= x / (x^2+x)

what are the discontinuities on this graph ?

1. bobpursley

what happens at x=-1

2. Reiny

more interesting, what happens when x = 0 ?

y = x/(x(x+1))
= 1/(x+1) , x ≠ 0
http://www.wolframalpha.com/input/?i=plot+y%3D+x+%2F+(x%5E2%2Bx)
so you also have a "hole" at (0,1)

e.g. let x = .0001
y = .0001/(.0001(1.0001))
= appr .99900999...

## Similar Questions

1. ### limitas, asymptotes and discontinuities??

f(x) = 1/(x^2-x-2) does f(x) have two or three asymptotes does f(x) have one or two discontinuities We have f(x) = 1/(x^2-x-2) or f(x)=1/[(x-2)(x+1)] f has vert. asympt. at the roots of the denominator. As x becomes unbounded in either …
2. ### calculus

find the x-values at which f is not continuous. which of the discontinuities are removable?
3. ### calculus

Can anyone please explain to me that how can I find the discontinuities of the following function?
4. ### calculus

Locate the discontinuities of the function. y = 2/(1 + e^(1\/x))
5. ### Calculus (Discontinuities)

Suppose, f(x) = { (x - 1)^2 / x + 1 if x < 2 (x^2 - 2x - 8)/(x - 4) if 2 </= x < 4 (1 / (x - 3)) + 5) if 4 </= x Identify any points of discontinuity, and determine (giving reasons) if they are removable, infinite, or jump …
6. ### calculus

Find all discontinuities of the given function. Also, describe the discontinuities. f(x)= [(x-8)^2(x+3)(2x^2+3x-5)]/[(x+4)^2(2x+5)(x-3)(x^2-1)]
7. ### Pre Calculus

Determine all discontinuities that exist on the graph of y = f(x) shown below. Please show your reasoning by justifying your answer with the conditions of continuity. If there is a discontinuity, identify it as removable or non-removable.
8. ### calculus

find all discontinuities (16x/2x3-8x3=0)
9. ### Pre-Calc/Trig

Identify the asymptotes, removable discontinuities, and intercepts for the graph of the function. d(x)=(x^2-12x+20)/3x
10. ### calculus

Locate the discontinuities of the function y=(5)/(3+e^(1/x))

More Similar Questions