What is the limit as x approaches 3 of 1/((2^x)) ?

The limit as x approaches 3 of 1/((2^x)) is 1/8

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limit as x approaches 3 of 1/((2^x))

x \to 3 lim (\frac{1}{( 2 ^{x} )})

\frac{1}{8}

Decimal Notation

0.125

Solution steps

x \to 3 lim (\frac{1}{2 ^{x}})

Plug in the value

x = 3

= \frac{1}{2 ^{3}}

Simplify

= \frac{1}{8}

x \to 3 lim (\frac{sin ( 1 )}{x})

x \to 3 lim (\frac{( e ^{x} - 1 ) ^{2}}{x})

x \to 3 lim (\frac{1}{e ^{x}})

x \to 3 lim (4 x - 2 x - 5)

x \to 3 lim (2 e^{x})

What is the limit as x approaches 3 of 1/((2^x)) ?
The limit as x approaches 3 of 1/((2^x)) is 1/8