simplify (g(x))^3

Solution

simplify

(g (x))^{3}

g^{3} x^{3}

Solution steps

(g (x))^{3}

Apply rule:

(a) = a

(x) = x

= (gx)^{3}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(gx)^{3} = g^{3} x^{3}

= g^{3} x^{3}

x \to 0 lim (x^{3} e^{- x^{2}})

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