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

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

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limit as x approaches 2 of sin(1/(x-2))

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

diverges

Solution steps

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

Apply Limit Divergence Criterion:

diverges

= diverges

x \to \infty lim (\frac{4 x ^{2} + 5 x}{10 + x ^{4}})

3 y^{^{''}} - 12 y = 0

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

y = x^{4} + 5 x^{2} - x

\int cos (\frac{nπ x}{2}) d x

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