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

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

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limit as x approaches pi/2 of (tan(x))/x

x \to \frac{π}{2} lim (\frac{tan ( x )}{x})

diverges

Solution steps

x \to \frac{π}{2} lim (\frac{tan ( x )}{x})

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

then the limit does not exist

x \to \frac{π}{2} + lim (\frac{tan ( x )}{x}) = - \infty

x \to \frac{π}{2} - lim (\frac{tan ( x )}{x}) = \infty

= diverges

x \to - \frac{1}{2} lim (1 - 5 x^{3})

x \to 2 lim (\frac{5 x}{4 - x ^{2}})

x \to 5 lim (x^{2} - 3)

x \to \infty lim (x ln (1 + \frac{3}{x}))

x \to - \infty lim (ln (0))

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