Limits of Piecewise Functions...5

Calculus





In order for the limit to exists, the following must take place:

lim (x - 3) as x tends 0 from the left = lim (x + 1) as x tends to 0 from the right.

Let x = 0.

(x - 3) = (x + 1)

(0 - 3) = (0 + 1)

-3 DOES NOT EQUAL 1.

So, I can now say that the limit of f(x) as x tends to 0 DNE.

 

correct

 

Beautiful. I'm cooking with gas. Ha!