What is the limit as x approaches 2 of 10^{x^2-4x} ?

The limit as x approaches 2 of 10^{x^2-4x} is 1/10000

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limit as x approaches 2 of 10^{x^2-4x}

x \to 2 lim (1 0^{x^{2} - 4 x})

\frac{1}{10000}

Decimal Notation

0.0001

Solution steps

x \to 2 lim (1 0^{x^{2} - 4 x})

Plug in the value

x = 2

= 1 0^{2^{2} - 4 \cdot 2}

Simplify

1 0^{2^{2} - 4 \cdot 2} : \frac{1}{10000}

= \frac{1}{10000}

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What is the limit as x approaches 2 of 10^{x^2-4x} ?
The limit as x approaches 2 of 10^{x^2-4x} is 1/10000