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

\frac{\partial}{\partial x} (ln (3 x + 5 y))

x \to 0 lim (\frac{x ^{2}}{x ^{2} + 1})

\int_{1}^{2} \frac{9}{x ^{3} + 5 x} d x

\int 15 tan^{3} (x) d x

e^{- x}, (x + 1)^{2}, x = 1

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