Mister Exam
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How to use it?
- Limit of the function:
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Limit of (-6*tan(x)+2*tan(3*x))/(-atan(3*x)+3*atan(x))
- Limit of sin(n*x)
- Limit of -4
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Limit of 1/n
- Sum of series:
- sin(n*x)
- Integral of d{x}:
- sin(n*x)
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Identical expressions
- sin(n*x)
- sinus of (n multiply by x)
- sin(nx)
- sinnx
Limit of the function sin(n*x)
The solution
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lim sin(n*x) n->oo
$$\lim_{n \to \infty} \sin{\left(n x \right)}$$
Limit(sin(n*x), n, oo, dir='-')
Other limits n→0, -oo, +oo, 1
$$\lim_{n \to \infty} \sin{\left(n x \right)} = \sin{\left(\tilde{\infty} x \right)}$$
$$\lim_{n \to 0^-} \sin{\left(n x \right)} = 0$$
More at n→0 from the left
$$\lim_{n \to 0^+} \sin{\left(n x \right)} = 0$$
More at n→0 from the right
$$\lim_{n \to 1^-} \sin{\left(n x \right)} = \sin{\left(x \right)}$$
More at n→1 from the left
$$\lim_{n \to 1^+} \sin{\left(n x \right)} = \sin{\left(x \right)}$$
More at n→1 from the right
$$\lim_{n \to -\infty} \sin{\left(n x \right)} = \tilde{\infty} x \cos{\left(\tilde{\infty} x \right)}$$
More at n→-oo
$$\lim_{n \to 0^-} \sin{\left(n x \right)} = 0$$
More at n→0 from the left
$$\lim_{n \to 0^+} \sin{\left(n x \right)} = 0$$
More at n→0 from the right
$$\lim_{n \to 1^-} \sin{\left(n x \right)} = \sin{\left(x \right)}$$
More at n→1 from the left
$$\lim_{n \to 1^+} \sin{\left(n x \right)} = \sin{\left(x \right)}$$
More at n→1 from the right
$$\lim_{n \to -\infty} \sin{\left(n x \right)} = \tilde{\infty} x \cos{\left(\tilde{\infty} x \right)}$$
More at n→-oo