HELP: Limit of absolute value

1. Sep 26, 2004

buffgilville

Compute the limit of: (absolute value)

f(x) = 4 (absolute value of x + 4) / (x+4)

as x approaches -4 from the right.

I got 4 because x>-4. Am I right?

2. Sep 26, 2004

BLaH!

Yep that's correct! When $$x > 4, |x + 4| = x + 4$$
Thus,

$$lim_{x \rightarrow -4^+} f(x) = lim_{x \rightarrow -4^+} 4\frac{x+4}{x+4} = 4$$