Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
f
(
x
)
=
∣
x
−
3
∣
x
−
3
(
x
≠
3
)
,
f
(
3
)
=
0.
f(x)=\frac{|x-3|}{x-3}\quad(x\ne 3),\qquad f(3)=0.
f
(
x
)
=
x
−
3
∣
x
−
3∣
(
x
=
3
)
,
f
(
3
)
=
0.
Calculate: (i)
lim
x
→
3
−
f
(
x
)
\displaystyle\lim_{x\to 3^-}f(x)
x
→
3
−
lim
f
(
x
)
, (ii)
lim
x
→
3
+
f
(
x
)
\displaystyle\lim_{x\to 3^+}f(x)
x
→
3
+
lim
f
(
x
)
.
Browse the problem library