Find the one sided limits at x=0 of the function:

f(x) = (x + x^2) / |x| , (x != 0)

Can you at least get me started. I'm not sure what to do...Thanks.

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- September 29th 2009, 07:03 PMjzelltOne Sided limit
Find the one sided limits at x=0 of the function:

f(x) = (x + x^2) / |x| , (x != 0)

Can you at least get me started. I'm not sure what to do...Thanks. - September 29th 2009, 08:40 PMCalculus26
recall the definition of |x| = x if x

__>__0

= -x if x < 0

(x + x^2) / |x| = (x+x^2)/x = (1+x) if x > 0 use this for the right hand limit

(x + x^2) / |x| = (x+x^2)/-x = -(1+x) if x > 0 use this for the left hand limit