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

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

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

x \to \infty lim (e^{- 3 s i n (x)})

diverges

Solution steps

x \to \infty lim (e^{- 3 s i n (x)})

Apply Limit Divergence Criterion:

diverges

= diverges

x \to \infty lim (\frac{3 x + 2 e ^{x}}{4 x - e ^{3 x}})

x \to 0 lim (e^{t a n (x)})

x \to 0 + lim (ln (5 s) in x)

x \to 0 lim (\frac{x}{arcsin ( x )})

x \to 7 + lim (\frac{1}{( x - 7 ) ^{2}} + 1)

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