What is the limit as x approaches 2 of 2^{c*x} ?

The limit as x approaches 2 of 2^{c*x} is 4^c

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limit as x approaches 2 of 2^{c*x}

x \to 2 lim (2^{c \cdot x})

4^{c}

Solution steps

x \to 2 lim (2^{c x})

Plug in the value

x = 2

= 2^{c \cdot 2}

Simplify

2^{c \cdot 2} : 4^{c}

= 4^{c}

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What is the limit as x approaches 2 of 2^{c*x} ?
The limit as x approaches 2 of 2^{c*x} is 4^c