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

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

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limit as x approaches 0 of 2cos(pi/x)

x \to 0 lim (2 cos (\frac{π}{x}))

diverges

Solution steps

x \to 0 lim (2 cos (\frac{π}{x}))

Apply Limit Divergence Criterion:

diverges

= diverges

\int_{1}^{\infty} \frac{1}{x ^{5}} d x

\int \frac{ln ( 8 x )}{x} d x

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

\frac{d}{d x} (sin (x) + \frac{4}{9} cot (x))

x \to 1 lim (F (x))

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