What is the limit as x approaches 0 of sin^2(1/x) ?

The limit as x approaches 0 of sin^2(1/x) is diverges

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limit as x approaches 0 of sin^2(1/x)

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

diverges

Solution steps

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

Apply Limit Divergence Criterion:

diverges

= diverges

x \to - 1 lim (3 x^{3} - 4 x^{2} - 3)

x \to 0 lim (e^{\frac{2}{x}})

x \to 2 lim (x^{3} + 2 x - 8)

x \to 0 lim (\frac{x - 3}{x ^{2} - 9})

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

What is the limit as x approaches 0 of sin^2(1/x) ?
The limit as x approaches 0 of sin^2(1/x) is diverges