What is the limit as x approaches infinity of e^{-3x}cos(3x) ?

The limit as x approaches infinity of e^{-3x}cos(3x) is 0

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limit as x approaches infinity of e^{-3x}cos(3x)

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

0

Solution steps

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

Apply the Squeeze Theorem:

0

= 0

\int e^{- s t} t^{2} d t

\int \frac{x}{e ^{2 x}} d x

\int \frac{1}{( x ^{2} + b ^{2} ) ^{\frac{3}{2}}} d x

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

y = 2 x^{3} - 2 x, (- 1, 0)

What is the limit as x approaches infinity of e^{-3x}cos(3x) ?
The limit as x approaches infinity of e^{-3x}cos(3x) is 0