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Exercise Set 2.3: One-Sided Limits. Math 1314. Page 1 of 3. Section 2.3 Exercises. Find. ++++. → lim ( ). x a. f x ,. −−−−. → lim ( ). x a. f x and.
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Find
++++
→→→→
lim ( )
x a
f x ,
−−−−
→→→→
lim ( )
x a
f x and
→→→→
lim ( )
x a
f x , if
they exist.
Find
++++
→→→→
lim ( )
x a
f x ,
−−−−
→→→→
lim ( )
x a
f x and
→→→→
lim ( )
x a
f x , if
they exist.
2
x x
f x
x x x
, a = 0
2
x x
f x
x x
, a = − 1
x x
f x x
x x
, a = 6
x x
f x x
x x
, a = 2
2
x x
f x x
x x
, a = 0
2
x x
f x x
x x
, a = 4
2
2
2
x x x
f x x x
x x x
, a = − 1
2
2
2
x x x
f x x x
x x x
, a = 3
Use a graphing calculator to find
++++
→→→→
lim ( )
x a
f x ,
−−−−
→→ →→
lim ( )
x a
f x and
→→→→
lim ( )
x a
f x , if they exist.
2
x
e x
f x
x x x
, a = 0
2
3
x x x
f x
x x x
, a = − 1
2
3
x x x
f x
x x x
, a = − 2
