What is the limit as x approaches 0-of sin(pi/x) ?

The limit as x approaches 0-of sin(pi/x) is diverges

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limit as x approaches 0-of sin(pi/x)

x \to 0 - lim (sin (\frac{π}{x}))

diverges

Solution steps

x \to 0 - lim (sin (\frac{π}{x}))

Apply Limit Divergence Criterion:

diverges

= diverges

\frac{\partial}{\partial x} ((e^{- \frac{x}{2}}) (4 x^{2}))

f (x) = 2 x - 5 x^{\frac{3}{4}}

\int_{3}^{\infty} \frac{6}{x ^{2} - x} d x

\frac{\partial}{\partial y} (x^{2} - x y^{2} + 4 y^{5})

\frac{\partial}{\partial y} (sin (x) cos (y))

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