SOLUTION: Use limits to describe the behavior of f(x)= 2/x^2-1 at values of x not in its domain.

Question 446017: Use limits to describe the behavior of f(x)= 2/x^2-1 at values of x not in its domain.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

Lim (x tend to -1 ) [-( x^2-2/ x^2)]=-1
domain is R - {-1,1} as at a these points its is not defined
taking limit at (-1). Lim (x tend to -1 ) [2 / x^2 - 1] applying L -hospital we get limit as 0
similar for 1
for x from -1 to 1:

for x from -6 to 6:

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