What is the limit as x approaches 1/4 of sin(pi/x) ?

The limit as x approaches 1/4 of sin(pi/x) is 0

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limit as x approaches 1/4 of sin(pi/x)

x \to \frac{1}{4} lim (sin (\frac{π}{x}))

0

Solution steps

x \to \frac{1}{4} lim (sin (\frac{π}{x}))

Plug in the value

x = \frac{1}{4}

= sin (\frac{π}{\frac{1}{4}})

Simplify

sin (\frac{π}{\frac{1}{4}}) : 0

= 0

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What is the limit as x approaches 1/4 of sin(pi/x) ?
The limit as x approaches 1/4 of sin(pi/x) is 0