What is the limit as x approaches 0 of sin((4pi)/x) ?

The limit as x approaches 0 of sin((4pi)/x) is diverges

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limit as x approaches 0 of sin((4pi)/x)

x \to 0 lim (sin (\frac{4 π}{x}))

diverges

Solution steps

x \to 0 lim (sin (\frac{4 π}{x}))

Apply Limit Divergence Criterion:

diverges

= diverges

f (x) = 5 x^{2}

x \to 0 lim (\frac{tan ( 9 x )}{x})

\int 144 - 4 x^{2} d x

\frac{d}{d x} (12 arccot (a x^{2}))

\int sin (2 t) d t

What is the limit as x approaches 0 of sin((4pi)/x) ?
The limit as x approaches 0 of sin((4pi)/x) is diverges