(b^4) ^-2 - Wolfram|Alpha

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Input

1/(b^4)^2

Result

1/b^8

Roots

(no roots exist)

Property as a function

Parity

even

Derivative

d/db(1/(b^4)^2) = -8/b^9

Indefinite integral

integral1/b^8 db = -1/(7 b^7) + constant

Limit

lim_(b-> ± ∞) 1/b^8 = 0

Series representation

1/b^8 = sum_(n=0)^∞ ((-1 + b)^n ((-1)^n (1 + n) (2 + n) (3 + n) (4 + n) (5 + n) (6 + n) (7 + n)))/5040 for abs(-1 + b)<1

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