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

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

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limit as x approaches 0 of+(sin(1/x))

x \to 0 lim (+ (sin (\frac{1}{x})))

diverges

Solution steps

x \to 0 lim (sin (\frac{1}{x}))

Apply Limit Divergence Criterion:

diverges

= diverges

θ \to 0 lim (cot (θ) - csc (θ))

x \to 0 lim (\frac{1}{x} cos (x))

x \to 0 + lim (\frac{4}{x})

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

x \to 0 + lim (\frac{1}{x ^{4}})

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