What is the limit as x approaches 2 of sin(2/(x-2)) ?

The limit as x approaches 2 of sin(2/(x-2)) is diverges

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limit as x approaches 2 of sin(2/(x-2))

x \to 2 lim (sin (\frac{2}{x - 2}))

diverges

Solution steps

x \to 2 lim (sin (\frac{2}{x - 2}))

Apply Limit Divergence Criterion:

diverges

= diverges

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