What is the limit as x approaches 0 of e^xcos(3x) ?

The limit as x approaches 0 of e^xcos(3x) is 1

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limit as x approaches 0 of e^xcos(3x)

x \to 0 lim (e^{x} cos (3 x))

1

Solution steps

x \to 0 lim (e^{x} cos (3 x))

Plug in the value

x = 0

= e^{0} cos (3 \cdot 0)

Simplify

e^{0} cos (3 \cdot 0) : 1

= 1

\int \frac{1}{e ^{2 x} - 3 e ^{x}} d x

\frac{d}{d t} (tan (3 t))

\frac{\partial}{\partial x} (\frac{3 x ^{2}}{5 - x})

\int \frac{1}{( 1 + 9 x ^{2} )} d x

9 \cdot t + 1

What is the limit as x approaches 0 of e^xcos(3x) ?
The limit as x approaches 0 of e^xcos(3x) is 1