What is the limit as x approaches 3 of 0.5^x ?

The limit as x approaches 3 of 0.5^x is 0.125

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limit as x approaches 3 of 0.5^x

x \to 3 lim (0. 5^{x})

0.125

Solution steps

x \to 3 lim (0. 5^{x})

Plug in the value

x = 3

= 0. 5^{3}

Simplify

= 0.125

x \to 8 lim (3 8 x)

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

x \to 0 lim (2 x^{2} \cdot cot^{2} (x))

x \to \frac{π}{2} lim (sin (x) + 1)

x \to 0 lim (x^{2} ln (3 x))

What is the limit as x approaches 3 of 0.5^x ?
The limit as x approaches 3 of 0.5^x is 0.125