What is the limit as x approaches 2+of sqrt(2^x-4) ?

The limit as x approaches 2+of sqrt(2^x-4) is 0

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limit as x approaches 2+of sqrt(2^x-4)

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

0

Solution steps

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

Plug in the value

x = 2

= 2^{2} - 4

Simplify

= 0

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What is the limit as x approaches 2+of sqrt(2^x-4) ?
The limit as x approaches 2+of sqrt(2^x-4) is 0