Understanding Taylor Series - Math
Card 1 of 8
Give the
term of the Maclaurin series of the function 
Give the term of the Maclaurin series of the function
Tap to reveal answer
The
term of the Maclaurin series of a function
has coefficient 
The second derivative of
can be found as follows:




The coeficient of
in the Maclaurin series is therefore

The term of the Maclaurin series of a function
has coefficient
The second derivative of can be found as follows:
The coeficient of in the Maclaurin series is therefore
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Give the
term of the Taylor series expansion of the function
about
.
Give the term of the Taylor series expansion of the function
about
.
Tap to reveal answer
The
term of a Taylor series expansion about
is
.
We can find
by differentiating twice in succession:








so the
term is 
The term of a Taylor series expansion about
is
.
We can find by differentiating twice in succession:
so the term is
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Give the
term of the Taylor series expansion of the function
about
.
Give the term of the Taylor series expansion of the function
about
.
Tap to reveal answer
The
term of a Taylor series expansion about
is
.
We can find
by differentiating twice in succession:








so the
term is 
The term of a Taylor series expansion about
is
.
We can find by differentiating twice in succession:
so the term is
← Didn't Know|Knew It →
Give the
term of the Maclaurin series of the function 
Give the term of the Maclaurin series of the function
Tap to reveal answer
The
term of the Maclaurin series of a function
has coefficient 
The second derivative of
can be found as follows:




The coeficient of
in the Maclaurin series is therefore

The term of the Maclaurin series of a function
has coefficient
The second derivative of can be found as follows:
The coeficient of in the Maclaurin series is therefore
← Didn't Know|Knew It →
Give the
term of the Taylor series expansion of the function
about
.
Give the term of the Taylor series expansion of the function
about
.
Tap to reveal answer
The
term of a Taylor series expansion about
is
.
We can find
by differentiating twice in succession:








so the
term is 
The term of a Taylor series expansion about
is
.
We can find by differentiating twice in succession:
so the term is
← Didn't Know|Knew It →
Give the
term of the Maclaurin series of the function 
Give the term of the Maclaurin series of the function
Tap to reveal answer
The
term of the Maclaurin series of a function
has coefficient 
The second derivative of
can be found as follows:




The coeficient of
in the Maclaurin series is therefore

The term of the Maclaurin series of a function
has coefficient
The second derivative of can be found as follows:
The coeficient of in the Maclaurin series is therefore
← Didn't Know|Knew It →
Give the
term of the Maclaurin series of the function 
Give the term of the Maclaurin series of the function
Tap to reveal answer
The
term of the Maclaurin series of a function
has coefficient 
The second derivative of
can be found as follows:




The coeficient of
in the Maclaurin series is therefore

The term of the Maclaurin series of a function
has coefficient
The second derivative of can be found as follows:
The coeficient of in the Maclaurin series is therefore
← Didn't Know|Knew It →
Give the
term of the Taylor series expansion of the function
about
.
Give the term of the Taylor series expansion of the function
about
.
Tap to reveal answer
The
term of a Taylor series expansion about
is
.
We can find
by differentiating twice in succession:








so the
term is 
The term of a Taylor series expansion about
is
.
We can find by differentiating twice in succession:
so the term is
← Didn't Know|Knew It →