1/x^2 - Wolfram|Alpha

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Input

1/x^2

Roots

(no roots exist)

Properties as a real function

Domain

{x element R : x!=0}

Range

{y element R : y>0} (all positive real numbers)

Parity

even

Derivative

d/dx(1/x^2) = -2/x^3

Indefinite integral

integral1/x^2 dx = -1/x + constant

Limit

lim_(x-> ± ∞) 1/x^2 = 0

Series representation

1/x^2 = sum_(n=0)^∞ (-1 + x)^n (-1)^n (1 + n) for abs(-1 + x)<1

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