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Limit of the function/ sin(n*x)

Limit of the function sin(n*x)

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You have entered [src] 
 lim sin(n*x)
n->oo
lim⁡n→∞sin⁡(nx)\lim_{n \to \infty} \sin{\left(n x \right)} 
Limit(sin(n*x), n, oo, dir='-')
Rapid solution [src] 
sin(zoo*x)
sin⁡(∞~x)\sin{\left(\tilde{\infty} x \right)}
Expand and simplify
Other limits n→0, -oo, +oo, 1
lim⁡n→∞sin⁡(nx)=sin⁡(∞~x)\lim_{n \to \infty} \sin{\left(n x \right)} = \sin{\left(\tilde{\infty} x \right)}
lim⁡n→0−sin⁡(nx)=0\lim_{n \to 0^-} \sin{\left(n x \right)} = 0
More at n→0 from the left
lim⁡n→0+sin⁡(nx)=0\lim_{n \to 0^+} \sin{\left(n x \right)} = 0
More at n→0 from the right
lim⁡n→1−sin⁡(nx)=sin⁡(x)\lim_{n \to 1^-} \sin{\left(n x \right)} = \sin{\left(x \right)}
More at n→1 from the left
lim⁡n→1+sin⁡(nx)=sin⁡(x)\lim_{n \to 1^+} \sin{\left(n x \right)} = \sin{\left(x \right)}
More at n→1 from the right
lim⁡n→−∞sin⁡(nx)=∞~xcos⁡(∞~x)\lim_{n \to -\infty} \sin{\left(n x \right)} = \tilde{\infty} x \cos{\left(\tilde{\infty} x \right)}
More at n→-oo
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