# Re: limits of infinity

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Posted by T.Gracken on October 10, 2002 at 08:55:02:

In Reply to: limits of infinity posted by cavanaugh on October 10, 2002 at 08:33:38:

: Need help!!! Where do I start with this problem. I must find the extrema, intercepts, symmetry, and the asymptotes as neccssary.

: y = x/x^2-4

use first derivative to locate possible values where extrema occur.

to determine x-intercepts, set y=0 and solve for x

to determine y-intercepts, set x=0 and solve for y

for symmetry, determine if f(x)=f(-x) [even; symmetric about y-axis] or if f(-x)=-f(x) [odd; symmetric about origin]

for vertical asymptotes, determine values of x that cause numerator to be non-zero and at same time cause denominator to equal 0.

for horizontal asymptotes, determine if lim (as x grows without bound) y exists. [be sure to check growth in both positive and negative direction]

There you go!
:
: THANKS KIM

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