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

The limit as x approaches pi of (e^{3x}-1)/x is (e^{3pi}-1)/pi

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limit as x approaches pi of (e^{3x}-1)/x

x \to π lim (\frac{e ^{3 x} - 1}{x})

\frac{e ^{3 π} - 1}{π}

Decimal

3944.06569 \dots

Solution steps

x \to π lim (\frac{e ^{3 x} - 1}{x})

Plug in the value

x = π

= \frac{e ^{3 π} - 1}{π}

What is the limit as x approaches pi of (e^{3x}-1)/x ?
The limit as x approaches pi of (e^{3x}-1)/x is (e^{3pi}-1)/pi