Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of ((-4+3*x)/(2+3*x))^(2*x)
-
Limit of (3+x^2-x)/(-3+3*x+5*x^2)
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Limit of (-1+x^2)/(-2+x+x^2)
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Limit of (sqrt(5+x)-sqrt(10))/(-15+x^2-2*x)
- Sum of series:
- cos(n*x)
- Derivative of:
- cos(n*x)
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Identical expressions
- cos(n*x)
- co sinus of e of (n multiply by x)
- cos(nx)
- cosnx
Limit of the function cos(n*x)
The solution
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lim cos(n*x) n->oo
$$\lim_{n \to \infty} \cos{\left(n x \right)}$$
Limit(cos(n*x), n, oo, dir='-')
Other limits n→0, -oo, +oo, 1
$$\lim_{n \to \infty} \cos{\left(n x \right)} = \cos{\left(\tilde{\infty} x \right)}$$
$$\lim_{n \to 0^-} \cos{\left(n x \right)} = 1$$
More at n→0 from the left
$$\lim_{n \to 0^+} \cos{\left(n x \right)} = 1$$
More at n→0 from the right
$$\lim_{n \to 1^-} \cos{\left(n x \right)} = \cos{\left(x \right)}$$
More at n→1 from the left
$$\lim_{n \to 1^+} \cos{\left(n x \right)} = \cos{\left(x \right)}$$
More at n→1 from the right
$$\lim_{n \to -\infty} \cos{\left(n x \right)} = \cos{\left(\tilde{\infty} x \right)}$$
More at n→-oo
$$\lim_{n \to 0^-} \cos{\left(n x \right)} = 1$$
More at n→0 from the left
$$\lim_{n \to 0^+} \cos{\left(n x \right)} = 1$$
More at n→0 from the right
$$\lim_{n \to 1^-} \cos{\left(n x \right)} = \cos{\left(x \right)}$$
More at n→1 from the left
$$\lim_{n \to 1^+} \cos{\left(n x \right)} = \cos{\left(x \right)}$$
More at n→1 from the right
$$\lim_{n \to -\infty} \cos{\left(n x \right)} = \cos{\left(\tilde{\infty} x \right)}$$
More at n→-oo