What is the limit as x approaches 0+of (2^x)/(3^x) ?

The limit as x approaches 0+of (2^x)/(3^x) is 1

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limit as x approaches 0+of (2^x)/(3^x)

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

1

Solution steps

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

Plug in the value

x = 0

= \frac{2 ^{0}}{3 ^{0}}

Simplify

= 1

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What is the limit as x approaches 0+of (2^x)/(3^x) ?
The limit as x approaches 0+of (2^x)/(3^x) is 1