What is the limit as x approaches 3 of ((1-w(x))/x)2 ?

The limit as x approaches 3 of ((1-w(x))/x)2 is 2/3 (1-3w)

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limit as x approaches 3 of ((1-w(x))/x)2

x \to 3 lim ((\frac{1 - w ( x )}{x}) 2)

\frac{2}{3} (1 - 3 w)

Solution steps

x \to 3 lim (\frac{1 - w x}{x} \cdot 2)

Plug in the value

x = 3

= \frac{1 - w \cdot 3}{3} \cdot 2

Simplify

\frac{1 - w \cdot 3}{3} \cdot 2 : \frac{2}{3} (1 - 3 w)

= \frac{2}{3} (1 - 3 w)

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

x \to 3 lim (x^{\frac{1}{( 1 - x )}})

x \to 3 lim (x^{2} - 3 x + 1)

x \to 3 lim (\frac{1}{x ^{x}})

x \to 3 lim (6 - 3 x)

What is the limit as x approaches 3 of ((1-w(x))/x)2 ?
The limit as x approaches 3 of ((1-w(x))/x)2 is 2/3 (1-3w)