What is the limit as x approaches 4 of 2(x^2-3x)^5 ?

The limit as x approaches 4 of 2(x^2-3x)^5 is 2048

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limit as x approaches 4 of 2(x^2-3x)^5

x \to 4 lim (2 (x^{2} - 3 x)^{5})

2048

Solution steps

x \to 4 lim (2 (x^{2} - 3 x)^{5})

Plug in the value

x = 4

= 2 (4^{2} - 3 \cdot 4)^{5}

Simplify

2 (4^{2} - 3 \cdot 4)^{5} : 2048

= 2048

x \to \infty lim ((\frac{13 x}{13 x + 7})^{6 x})

x \to - \infty lim ((3)^{x})

x \to \infty lim (- x^{2} + 9)

x \to 0 lim ((1 - 2 x)^{\frac{9}{x}})

x \to 0 - lim (\frac{2 x + 9}{- x})

What is the limit as x approaches 4 of 2(x^2-3x)^5 ?
The limit as x approaches 4 of 2(x^2-3x)^5 is 2048