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

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

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

x \to 1 lim (sin (\frac{π}{x}))

0

Solution steps

x \to 1 lim (sin (\frac{π}{x}))

Plug in the value

x = 1

= sin (\frac{π}{1})

Simplify

sin (\frac{π}{1}) : 0

= 0

n = 1 \sum \infty \frac{n}{10 n + 12}

(2) sin (x), [0, π]

\int \frac{( x ^{2} - x + 12 )}{( x ^{3} + 3 x )} d x

\int 2 - y d y

\frac{1}{x ^{2}}, 7

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