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

\int \frac{( x + 1 )}{x ^{2} + 2 x + 8} d x

\int x^{3} e^{x^{4 + 5}} d x

in v erse l a pl a ce \frac{4}{s \cdot ( s ^{2} - 4 s + 5 )}

\frac{d}{d x} (6 x - 7 e^{6 x})

x \to 0 lim (\frac{∣ 0 ∣}{0})

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