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

The limit as x approaches 3 of (3/2)^x is 27/8

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

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

\frac{27}{8}

Decimal Notation

3.375

Solution steps

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

Plug in the value

x = 3

= (\frac{3}{2})^{3}

Simplify

(\frac{3}{2})^{3} : \frac{27}{8}

= \frac{27}{8}

x \to 3 lim ((x - 1)!)

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

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

x \to 3 lim (5 x^{2} + 4 x + 3)

x \to 3 lim (3 x^{2} + 7 x - 1)

What is the limit as x approaches 3 of (3/2)^x ?
The limit as x approaches 3 of (3/2)^x is 27/8