What is the limit as x approaches 0 of e^xcos(5x) ?

The limit as x approaches 0 of e^xcos(5x) is 1

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limit as x approaches 0 of e^xcos(5x)

x \to 0 lim (e^{x} cos (5 x))

1

Solution steps

x \to 0 lim (e^{x} cos (5 x))

Plug in the value

x = 0

= e^{0} cos (5 \cdot 0)

Simplify

e^{0} cos (5 \cdot 0) : 1

= 1

81 y^{^{''}} + 72 y^{^{'}} + 16 y = 0, y (0) = 5, y^{^{'}} (0) = - 1

e^{\frac{2 t}{1}}

\frac{6 s ^{2}}{s ^{2} ( s ^{2} + 16 )}

\frac{\partial}{\partial x} (\frac{3 x - 5}{2 x + 4})

x \to 0 + lim (\frac{14 x ^{3} + 15 x}{x})

What is the limit as x approaches 0 of e^xcos(5x) ?
The limit as x approaches 0 of e^xcos(5x) is 1