What is the limit as x approaches 1 of (x^2-3x)^6 ?

The limit as x approaches 1 of (x^2-3x)^6 is 64

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limit as x approaches 1 of (x^2-3x)^6

x \to 1 lim ((x^{2} - 3 x)^{6})

64

Solution steps

x \to 1 lim ((x^{2} - 3 x)^{6})

Plug in the value

x = 1

= (1^{2} - 3 \cdot 1)^{6}

Simplify

(1^{2} - 3 \cdot 1)^{6} : 64

= 64

x \to 3 lim (\frac{4 - 3 x}{x - 3})

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

x \to 1 lim ((8 x + \frac{2}{x})^{5})

x \to - 3 - lim (x + 5)

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

What is the limit as x approaches 1 of (x^2-3x)^6 ?
The limit as x approaches 1 of (x^2-3x)^6 is 64