Taylor and Maclaurin Series
AP Calculus BC · Flashcards · Application
AP CALCULUS BC · FLASHCARDS
Card 1
of 16
0 got it
0 to review
Current
Got it
Still learning
Not seen
QUESTION
Find
f
′
(
0
)
f'(0)
f
′
(
0
)
for
f
(
x
)
=
arctan
(
x
)
f(x) = \text{arctan}(x)
f
(
x
)
=
arctan
(
x
)
in its Maclaurin series.
QUESTION
Evaluate
f
(
0
)
f(0)
f
(
0
)
for
f
(
x
)
=
ln
(
1
+
x
)
f(x) = \text{ln}(1+x)
f
(
x
)
=
ln
(
1
+
x
)
in its Maclaurin series.
QUESTION
State the Taylor polynomial of degree 2 for
f
(
x
)
=
sin
(
x
)
f(x) = \sin(x)
f
(
x
)
=
sin
(
x
)
at
a
=
0
a = 0
a
=
0
.
Tap to flip before you grade
ANSWER
x
−
x
3
6
x - \frac{x^3}{6}
x
−
6
x
3
. First three terms of sine series (degree 2 has no
x
2
x^2
x
2
term).
Swipe → got it · swipe ← still learning
Got it
Still learning
Flip Card
Previous card
Next card