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