What is the limit as x approaches 0 of sin^2(pi/x) ?

The limit as x approaches 0 of sin^2(pi/x) is diverges

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limit as x approaches 0 of sin^2(pi/x)

x \to 0 lim (sin^{2} (\frac{π}{x}))

diverges

Solution steps

x \to 0 lim (sin^{2} (\frac{π}{x}))

Apply Limit Divergence Criterion:

diverges

= diverges

\frac{\partial}{\partial x} ((9 x + 2 y)^{10})

f (x) = e^{2 x} + 1

\frac{d}{d x} (a sin (5 x) + b cos (5 x))

y^{^{'}} = - y

\frac{x ^{6}}{5 - x ^{5}}

What is the limit as x approaches 0 of sin^2(pi/x) ?
The limit as x approaches 0 of sin^2(pi/x) is diverges