What is the limit as x approaches 0 of (e^{2x}-5x)^2 ?

The limit as x approaches 0 of (e^{2x}-5x)^2 is 1

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limit as x approaches 0 of (e^{2x}-5x)^2

x \to 0 lim ((e^{2 x} - 5 x)^{2})

1

Solution steps

x \to 0 lim ((e^{2 x} - 5 x)^{2})

Plug in the value

x = 0

= (e^{2 \cdot 0} - 5 \cdot 0)^{2}

Simplify

(e^{2 \cdot 0} - 5 \cdot 0)^{2} : 1

= 1

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What is the limit as x approaches 0 of (e^{2x}-5x)^2 ?
The limit as x approaches 0 of (e^{2x}-5x)^2 is 1