limitas, asymptotes and discontinuities??
posted by ronan .
f(x) = 1/(x^2x2)
does f(x) have two or three asymptotes
does f(x) have one or two discontinuities
We have f(x) = 1/(x^2x2) or
f(x)=1/[(x2)(x+1)]
f has vert. asympt. at the roots of the denominator.
As x becomes unbounded in either direction you should be able to see that it approaches the xaxis.
So 2 vertical and 1 horizntal asymptote = 3 asymptotes, and 2 roots = 2 discontinuities.
Respond to this Question
Similar Questions

asymptotes and discontinuity 2???
consider the function f(x) = 1/x  1 for x not=0 and f(x) = 0 for x = 0. decide whether f(x) has a)one symptote and two discontinuities b)two asymptotes and two discontinuities c)two asymptotes and one discontinuity I'm not sure if … 
PreCal
use a graphing calculator to obtain the graph of the function. What do you observe about its asymptotes? 
Math  asymptotes
Identify all asymptotes. 1. y= 1 / 2√x^2  3x the asymptotes I got were: vertical: 1 & 4 horizontal: 0 Is this it or are there more? 
Pre Cal
which of the following best describes the behavior of thre function f(x)=(x^22x)/(x^24) at the values not in its domain? 
calculus
Find all discontinuities of the given function. Also, describe the discontinuities. f(x)= [(x8)^2(x+3)(2x^2+3x5)]/[(x+4)^2(2x+5)(x3)(x^21)] 
AP Calculus
Consider the function f(x)= abs(x)(x3)/9x^2 a) what is the domain of f? 
Math
two functions are defined as follows: f(x)=3/x+1 and g(x)=x6 a) Write the equations of the vertical and horizonal asymptotes of f. b) Determine the coordinates of the points where f(x) = g(x) Thank you so much for huge help Is ti … 
PreCalc/Trig
Identify the asymptotes, removable discontinuities, and intercepts for the graph of the function. d(x)=(x^212x+20)/3x 
Math
Create a function which has the following properties: a. It has a horizontal asymptote at y=2 b. It has a discontinuity at x=2 which is not a vertical asymptote c. It has no other discontinuities or asymptotes 
Pre cal
Determine all xintercepts, vertical asymptotes, horizontal asymptotes, and removable discontinuities of f (x)=(x^2x6)/(x^34x).