AP Calculus AB Limits: Extra Practice Worksheets | Latest Updated 2026–2027 | AP Exam Review & Practice Questions

Limits: Extra Practice Name_______________________________
AP Calculus


These are some interesting problems requiring some creative algebra!

1.
3 = limo
EBM : Fi - ✗ ✗→ is




0
yÑ-×ˢ
=




#
3
=
/ im -
✗



¥-1
✗→ A

Iim
¥
=

✗→ is
2. =
-




:¥× ¥1s -1-3
=

EBM



¥%¥=¥%¥ =
-




3-
I

Another Way of Evaluating Limits:

3. Given that and , find the limits that exist using +3
) =3 G)
properties of limits:
,ggl×)
I
= 3
first G) _




¥29k
¥838k)
-




a. =




-


a

";÷% =
-




b. =




}¥¥→=
c. =




:¥÷¥÷:¥- =




d.

=

iE
=lOtZ
=
F
= 4

, Piecewise Practice:


4. Let

Find:
a) b) EBM : 7¥
2×2+5 -57+3-1 / im = Iim -5 =
-5
Iim
¥2
=

→ °
, ✗→ • ✗3+4×+1 ✗→
is




¥→%f(His
5. Let

Find:
a) EBM :
3¥ b)
-


EBM :




i.fi?n3s,E-+2-- ¥ =¥s

II. 3¥
•
:

=¥s"¥
¥7 ¥ .


-6
= Iim
=
✗ → is




= - 6




?⃝