What is the limit as x approaches 1 of tan(pi/2 x) ?

The limit as x approaches 1 of tan(pi/2 x) is diverges

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limit as x approaches 1 of tan(pi/2 x)

x \to 1 lim (tan (\frac{π}{2} x))

diverges

Solution steps

x \to 1 lim (tan (\frac{π}{2} x))

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

then the limit does not exist

x \to 1 + lim (tan (\frac{π}{2} x)) = - \infty

x \to 1 - lim (tan (\frac{π}{2} x)) = \infty

= diverges

x \to 0 lim (x sin (\frac{x + 3}{x}))

x \to - 3 lim (- (x + 5))

x \to \infty lim (\frac{9 x ^{3} + x ^{2} - 5}{3 x ^{4} + 4 x ^{2} + 3})

x \to 15 lim (x)

x \to - 3 lim (7 x + 1)

What is the limit as x approaches 1 of tan(pi/2 x) ?
The limit as x approaches 1 of tan(pi/2 x) is diverges