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

The limit as x approaches 1/2 of xtan(pi)x is 0

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

x \to \frac{1}{2} lim (x tan (π) x)

0

Solution steps

x \to \frac{1}{2} lim (x tan (π) x)

Plug in the value

x = \frac{1}{2}

= \frac{1}{2} tan (π) \frac{1}{2}

Simplify

\frac{1}{2} tan (π) \frac{1}{2} : 0

= 0

x \to \frac{3}{2} lim (\frac{8 x ^{3} - 27}{2 x - 3})

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

x \to \infty lim (\frac{ln ( 5 )}{( 1 + ln ( x ) )})

x \to 0 + lim (x e^{s i n (\frac{π}{x})})

\frac{d}{d x} ((\frac{10 + x}{π})^{\frac{1}{3}})

What is the limit as x approaches 1/2 of xtan(pi)x ?
The limit as x approaches 1/2 of xtan(pi)x is 0