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

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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) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+%282+%2F+x%5E2%29+-+1
f%28x%29+=+%282-+x%5E2%2F+x%5E2%29+
f%28x%29+=+-%28+x%5E2-2%2F+x%5E2%29

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:
+graph%28+500%2C+500%2C+-1%2C+1%2C+-10%2C+20%2C-%28+x%5E2-2%2F+x%5E2%29%29+

for x from -6 to 6:
+graph%28+500%2C+500%2C+-6%2C6%2C+-10%2C+20%2C%282-+x%5E2%29%2F+x%5E2%29+