Let F be the function below Evaluate the following limits An

Let F be the function below Evaluate the following limits. Answer \"DNE\" if the limit doesn\'t exist at that point. lim_x rightarrow -1 F(x) = -2 lim_x rightarrow 1 F(x) = DNE

Solution

a.

First part is to evaluate limit fo F(x) as x tends to -1 but not the value of F(-1) which is equal to -2

Look at the graph and we see as x tends to -1 ,F(x) tends to -3

So, lim_{x tends to -1}F(x)=-3

Second part is done.

Here limit does not exist because limit is different from left side of x=1 and right side of x=1