9.0/1 points | Previous Answers SSTCalc6 2.3.046.My Notes

Question

Question Part
Points
Submissions Used
Let
f(x) =

4x2 if x > 2
4x + 3 if x ≤ 2.

Show that f is continuous from the left at
x = 2,
but not from the right.

lim f(x) =
n→2−

f(2) =

lim f(x) =
n→2+

Answer 1

4x+3 = 11 at x=2
4x^2 = 16 at x=2

Since f(x) = 4x+3 for x <= 2, lim(x->2-) f(x) = 11 = f(2)

But lim(x->2+) = 16 ≠ 11