100*x^(-0.5) - Wolfram|Alpha

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Input

100/x^0.5

Plot

Plot

Plot

Alternate form

100/sqrt(x)

Roots

(no roots exist)

Properties as a real function

Domain

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

Range

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

Injectivity

injective (one-to-one)

Derivative

d/dx(100/x^0.5) = -50/x^1.5

Indefinite integral

integral100/x^0.5 dx = 200 sqrt(x) + constant

Limit

lim_(x->-∞) 100/x^0.5 = 0≈0

lim_(x->∞) 100/x^0.5 = 0

Series representation

100/x^0.5 = sum_(n=0)^∞ (-1 + x)^n 100 binomial(-1/2, n)

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