What is the limit as x approaches 3 of sin(1/(x-3)) ?

The limit as x approaches 3 of sin(1/(x-3)) is diverges

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limit as x approaches 3 of sin(1/(x-3))

x \to 3 lim (sin (\frac{1}{x - 3}))

diverges

Solution steps

x \to 3 lim (sin (\frac{1}{x - 3}))

Apply Limit Divergence Criterion:

diverges

= diverges

\frac{d}{d x} ((x^{2} + 5)^{\frac{1}{2}})

cos^{4} (t) - sin^{4} (t)

y^{^{'}} + 3 y = 18 x

\frac{d}{d x} (- \frac{a ^{2} x}{b ^{2} y})

\frac{d}{d x} (e^{a x^{2}})

What is the limit as x approaches 3 of sin(1/(x-3)) ?
The limit as x approaches 3 of sin(1/(x-3)) is diverges