Series in Calculus - Math
Card 0 of 20
Give the 
term of the Taylor series expansion of the function 
about 
.
Give the
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The 
term of a Taylor series expansion about 
is
.
We can find 
by differentiating twice in succession:
so the 
term is 
The
We can find
so the
Give the 
term of the Maclaurin series expansion of the function 
.
Give the
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The 
term of a Maclaurin series expansion has coefficient
.
We can find 
by differentiating twice in succession:
The coefficient we want is
,
so the corresponding term is 
.
The
We can find
The coefficient we want is
so the corresponding term is
Give the 
term of the Maclaurin series expansion of the function 
.
Give the
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This can most easily be answered by recalling that the Maclaurin series for 
is
Multiply by 
to get:
The 
term is therefore 
.
This can most easily be answered by recalling that the Maclaurin series for
Multiply by
The
Give the 
term of the Maclaurin series of the function 
.
Give the
Tap to see back →
The 
term of a Maclaurin series expansion has coefficient
.
We can find 
by differentiating three times in succession:
The term we want is therefore
The
We can find
The term we want is therefore
Give the 
term of the Maclaurin series of the function 
Give the
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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
The second derivative of
The coeficient of
Give the term of the Taylor series expansion of the function about .
Give the
Tap to see back →
The term of a Taylor series expansion about is
.
We can find by differentiating twice in succession:
so the term is
The
We can find
so the
Give the term of the Maclaurin series expansion of the function .
Give the
Tap to see back →
The term of a Maclaurin series expansion has coefficient
.
We can find by differentiating twice in succession:
The coefficient we want is
,
so the corresponding term is .
The
We can find
The coefficient we want is
so the corresponding term is
Give the term of the Maclaurin series expansion of the function .
Give the
Tap to see back →
This can most easily be answered by recalling that the Maclaurin series for is
Multiply by to get:
The term is therefore .
This can most easily be answered by recalling that the Maclaurin series for
Multiply by
The
Give the term of the Maclaurin series of the function .
Give the
Tap to see back →
The term of a Maclaurin series expansion has coefficient
.
We can find by differentiating three times in succession:
The term we want is therefore
The
We can find
The term we want is therefore
Give the term of the Maclaurin series of the function
Give the
Tap to see back →
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
The second derivative of
The coeficient of
Give the term of the Maclaurin series expansion of the function .
Give the
Tap to see back →
The term of a Maclaurin series expansion has coefficient
.
We can find by differentiating twice in succession:
The coefficient we want is
,
so the corresponding term is .
The
We can find
The coefficient we want is
so the corresponding term is
Give the term of the Maclaurin series expansion of the function .
Give the
Tap to see back →
This can most easily be answered by recalling that the Maclaurin series for is
Multiply by to get:
The term is therefore .
This can most easily be answered by recalling that the Maclaurin series for
Multiply by
The
Give the term of the Maclaurin series of the function .
Give the
Tap to see back →
The term of a Maclaurin series expansion has coefficient
.
We can find by differentiating three times in succession:
The term we want is therefore
The
We can find
The term we want is therefore
Give the term of the Maclaurin series of the function
Give the
Tap to see back →
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
The second derivative of
The coeficient of
Give the term of the Taylor series expansion of the function about .
Give the
Tap to see back →
The term of a Taylor series expansion about is
.
We can find by differentiating twice in succession:
so the term is
The
We can find
so the
Give the term of the Maclaurin series expansion of the function .
Give the
Tap to see back →
The term of a Maclaurin series expansion has coefficient
.
We can find by differentiating twice in succession:
The coefficient we want is
,
so the corresponding term is .
The
We can find
The coefficient we want is
so the corresponding term is
Give the term of the Maclaurin series expansion of the function .
Give the
Tap to see back →
This can most easily be answered by recalling that the Maclaurin series for is
Multiply by to get:
The term is therefore .
This can most easily be answered by recalling that the Maclaurin series for
Multiply by
The
Give the term of the Maclaurin series of the function .
Give the
Tap to see back →
The term of a Maclaurin series expansion has coefficient
.
We can find by differentiating three times in succession:
The term we want is therefore
The
We can find
The term we want is therefore
Give the term of the Maclaurin series of the function
Give the
Tap to see back →
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
The second derivative of
The coeficient of
Give the term of the Taylor series expansion of the function about .
Give the
Tap to see back →
The term of a Taylor series expansion about is
.
We can find by differentiating twice in succession:
so the term is
The
We can find
so the