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

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

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limit as x approaches 0 of (cos(pix))/x

x \to 0 lim (\frac{cos ( π x )}{x})

diverges

Solution steps

x \to 0 lim (\frac{cos ( π x )}{x})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 0 + lim (\frac{cos ( π x )}{x}) = \infty

x \to 0 - lim (\frac{cos ( π x )}{x}) = - \infty

= diverges

t e^{- 3 t}

\frac{d}{d x} ((x^{3} - 1)^{100})

y = x^{4}, x = y^{7}, 1

\int 8 + 2 x - x^{2} d x

x \to 1 + lim (ln x^{2} - 1)

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