Basic MacLaurin Series Flashcards

(6 cards)

1
Q

What are the 5 basic MacLaurin Series

A

1/(1 - x)

e^x

sin(x)

cos(x)

ln(1 + 6)

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2
Q

What is the nth term for
1 / (1 - x)

A

x^n

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3
Q

What is the nth term for
e^x

A

x^n / n!

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4
Q

What is the nth term for
sin (x)

A

(-1)^n * x^(2n + 1)
_______________
(2n + 1) !

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5
Q

What is the nth term for
cos (x)

A

(-1)^n * x^(2n)
_______________
(2n) !

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6
Q

What is the nth term for
ln (1 + x)

A

(-1)^n * x^(n + 1)
_______________
n + 1

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