What is the limit as θ approaches 0 of sin(1/θ) ?

The limit as θ approaches 0 of sin(1/θ) is diverges

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limit as θ approaches 0 of sin(1/θ)

θ \to 0 lim (sin (\frac{1}{θ}))

diverges

Solution steps

θ \to 0 lim (sin (\frac{1}{θ}))

Apply Limit Divergence Criterion:

diverges

= diverges

x \to 0 lim (\frac{3 x + 4}{5 x ^{2}})

x \to 2 lim (\frac{x ^{2} + 12}{2 x})

x \to 0 lim ((1 - \frac{x}{3})^{\frac{2}{x}})

x \to 0 lim (cos (11 x))

x \to 1 lim (e^{x^{2}})

What is the limit as θ approaches 0 of sin(1/θ) ?
The limit as θ approaches 0 of sin(1/θ) is diverges