What is the limit as x approaches 0 of (e^xcos(x))/4 ?

The limit as x approaches 0 of (e^xcos(x))/4 is 1/4

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limit as x approaches 0 of (e^xcos(x))/4

x \to 0 lim (\frac{e ^{x} cos ( x )}{4})

\frac{1}{4}

Decimal Notation

0.25

Solution steps

x \to 0 lim (\frac{e ^{x} cos ( x )}{4})

Plug in the value

x = 0

= \frac{e ^{0} cos ( 0 )}{4}

Simplify

\frac{e ^{0} cos ( 0 )}{4} : \frac{1}{4}

= \frac{1}{4}

\frac{d}{d x} (\frac{e ^{x}}{4 + e ^{x}})

\frac{d}{d x} (\frac{x ^{3} - 5 x ^{2} - 36 x}{x ^{2} + 4 x})

\frac{25}{x ( x ^{2} + 6 x + 25 )}

\frac{d x}{d t} = x - 12

\frac{d}{d x} (sin (\frac{1}{x}) \cdot x^{3})

What is the limit as x approaches 0 of (e^xcos(x))/4 ?
The limit as x approaches 0 of (e^xcos(x))/4 is 1/4