What is the limit as x approaches 1 of (3x-1)^{10} ?

The limit as x approaches 1 of (3x-1)^{10} is 1024

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limit as x approaches 1 of (3x-1)^{10}

x \to 1 lim ((3 x - 1)^{10})

1024

Solution steps

x \to 1 lim ((3 x - 1)^{10})

Plug in the value

x = 1

= (3 \cdot 1 - 1)^{10}

Simplify

= 1024

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What is the limit as x approaches 1 of (3x-1)^{10} ?
The limit as x approaches 1 of (3x-1)^{10} is 1024