Calculus

i was just wondering if the limit of a funtion exists as it approches a value if both the right side limit and the left side limit both equal the same infinity ( postive inififnty for both sides, or negative infinty for both sides).

i know that if one side is negative infinity and the other side is postive infinity the limit does not exist. But since in this situation both infinties are parrallel, i don't know the answer.

Thank you for your help!

  1. 0
  2. 0
  3. 41
asked by Pria
  1. Does infinity exist? No. Therefore the limit does not exist.

    I am wondering what you mean by both infinities are parallel, I assume you did not mean that.

    1. 0
    2. 0
    posted by bobpursley
  2. by that i meant that the inifnity for both sides of the x value,are both postive or oth nergative.
    so the answer is no because for exaple even if the left side limit and the right side limit are both postive infinty, since we don't know the value for infinity the limit does not exist.

    is that right?

    1. 0
    2. 0
    posted by Pria

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus

    Hi! My question is: Given that f is a function defined by f(x) = (2x - 2) / (x^2 +x - 2) a) For what values of x is f(x) discontinuous? b) At each point of discontinuity found in part a, determine whether f(x) has a limit and, if

    asked by Hillary on September 25, 2009
  2. Calculus

    limit of (x*(y-1)^2*cosx)/(x^2+2(y-1)^2) as (x,y)->(0,1). By evaluating along different paths this limit often goes to 0. This does not necessarily imply that it exists. So how would i prove that it exists. Can someone please show

    asked by Jim on April 11, 2016
  3. Math

    (a) Find the number c such that the limit below exists. Limit as x goes to -2 of: x^2+cx=c-3/x^2+2x (b) Calculate the limit for the value of c in part (a).

    asked by Andrew on October 24, 2012
  4. calculus

    (a) Find the number c such that the limit below exists. Limit as x goes to -2 of: x^2+cx=c-3/x^2+2x (b) Calculate the limit for the value of c in part (a).

    asked by Andrew on October 24, 2012
  5. Math

    limit of (x,y)--->(1,0) of ln(1+y^2/x^2+xy)) Find the limit, if it exists, or show that the limit does not exist.

    asked by Ms. Sue Please help! on November 8, 2012
  6. calculus help please

    hi what is lim as x reaches one of the function x/LN(x) is it one or does the limit it not exist. hi what is limit as x reaches one of the function x/LN(x) is it one or does the limit it not exist. Have you tried graphing it? That

    asked by Anonymous on December 3, 2006
  7. limit from graph

    How do I know if the limit of a function exists or not from that function's graph. Thanks. It the graph of a function becomes straighter at + and -infinity, it means that the function behaves linearly in the limit. However there

    asked by Jen on December 8, 2006
  8. Maths

    Limit x approches 1(sqrt(1+2x)-(sqrt3x))/(sqrt(3+x)-2sqrt(x))

    asked by Harpreet on August 15, 2017
  9. math

    how do you show that lim((e^(h)-1)/h)=1 as h approches 0 given the series e^x= 1+x+(x^2/2!)+(x^3/3!)... And given F(x)=e^x how do you find the lim((f(x+h)-f(x))/h)as h approches 0

    asked by alex on February 24, 2009
  10. Calculus 3

    Find the limit, if it exists, or show that the limit does not exist. lim of x+y/y^2-x^2 as (x,y) approaches the point (-1,1).

    asked by Anonymous on March 4, 2012

More Similar Questions