Question
Question: If \(f(x) = \left\{ \begin{matrix} \frac{2}{5 - x},\text{when}x < 3 \\ 5 - x,\text{when}x > 3 \end{m...
If f(x)={5−x2,whenx<35−x,whenx>3 , then
A
limx→3+f(x)=0
B
limx→3−f(x)=0
C
limx→3+f(x)=⥂limx→3−f(x)
D
None of these
Answer
limx→3+f(x)=⥂limx→3−f(x)
Explanation
Solution
limx→3+f(x)=5−3=2 and limx→3−f(x)=5−32=1