What is the limit as x approaches x/8 of tan(24*x) ?

The limit as x approaches x/8 of tan(24*x) is tan(3x)

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limit as x approaches x/8 of tan(24*x)

x \to \frac{x}{8} lim (tan (24 \cdot x))

tan (3 x)

Solution steps

x \to \frac{x}{8} lim (tan (24 x))

Plug in the value

x = \frac{x}{8}

= tan (24 \cdot \frac{x}{8})

Multiply

24 \cdot \frac{x}{8} : 3 x

= tan (3 x)

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What is the limit as x approaches x/8 of tan(24*x) ?
The limit as x approaches x/8 of tan(24*x) is tan(3x)