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

x + 2, at x = 4

\int (6 x^{2} - 5 x + 4) d x

\frac{d}{d t} (x e^{\frac{y}{z ( t )}})

y = ln (e^{x})

n = 1000 \sum \infty \frac{1}{n}

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